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ON HOMOTOPY BRAID GROUPS AND COHEN GROUPS

ON HOMOTOPY BRAID GROUPS AND COHEN GROUPS

... university previously Liu Minghui July 2015 ii Acknowledgments First and foremost, I would like to take this great opportunity to thank my thesis advisor Professor Wu Jie, for his guidance, advice and ... Cerda, for teaching me wisdom and giving me sunshine when I am having difficulties in writing the thesis I am also very grateful for Dale and Nancy Miller who provided much assistance when I was writing ... called an almost trivial braid Example The trivial braid is Brunnian by definition Example The braid −1 −1 −1 −1 −1 −1 −1 σ1 σ3 σ2 σ1 σ2 σ3 σ2 σ1 σ3 σ2 σ3 σ2 σ1 σ2 is a non-trivial example of a...

Ngày tải lên: 08/09/2015, 15:30

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Homotopy theory of suspended lie groups and decomposition of loop spaces

Homotopy theory of suspended lie groups and decomposition of loop spaces

... contradiction that ΣSO(3) has a non-trivial decomposable, that is ΣSO(3) A ∨ B for some non-trivial space A and B Notice ¯ that dim(H∗ (ΣSO(3); Z/2)) = Since A and B are non-trivial, we must have ¯ dim(H∗ ... (ΩP (2)) → π5 (ΩP (2)) is trivial Therefore the h3∗ : π5 (P (2)) → π5 (ΩP (2)) is trivial Thus we must have (f1 ◦ ω1 )∗ : π6 (P (2)) → π6 (P (2) ∨ S ) is the trivial map Proposition 2.15 f2 ◦ ... S ) = = is trivial, that is we need to show that the following two composites β s p1 β s p2 S → S → P (2) ∨ S → P (2) S → S → P (2) ∨ S → S are trivial for any β ∈ π6 (S ) Observing that p1 ◦...

Ngày tải lên: 09/09/2015, 18:49

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Báo cáo khoa học: Optimization of P1–P3 groups in symmetric and asymmetric HIV-1 protease inhibitors pptx

Báo cáo khoa học: Optimization of P1–P3 groups in symmetric and asymmetric HIV-1 protease inhibitors pptx

... antiviral activity in MT4-cell culture ED50 values for reference substances tested in the same assay: ritonavir (ED50 0.06 lM), indinavir (ED50 0.06 lM), saquinavir (ED50 0.01 lM) and nelfinavir ... maturation and viral infectivity J Virol 63, 2550–2556 Gottlinger, H.G., Sodroski, J.G & Haseltine, W.A (1989) Role of capsid precursor processing and myristoylation in morphogenesis and infectivity of ... and Medivir AB, Huddinge Sweden References Kohl, N.E., Emini, E.A., Schleif, W.A., Davis, L.J., Heimbach, J.C., Dixon, R.A., Scolnick, E.M & Sigal, I.S (1988) Active human immunodeficiency virus...

Ngày tải lên: 08/03/2014, 02:20

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Đề tài " Unique decomposition of tensor products of irreducible representations of simple algebraic groups " pot

Đề tài " Unique decomposition of tensor products of irreducible representations of simple algebraic groups " pot

... factor from both 690 C S RAJAN sides, we are left with an equality of a product of characters involving fewer numbers of factors than the equation we started with, and by induction we have proved ... we have to show that for any index i, we have zj = j∈E(i) Dividing by n l=1 Sλl on both sides and equating, we are left with the equation, zi 1≤i≤n Sλi +cω1 = Sλi TENSOR PRODUCTS OF IRREDUCIBLE ... that we have an equality, {a11 , a21 } = {b11 , b21 } If we look at the constant coefficients, we obtain an equality, {a11 − a12 , a21 − a22 } = {b11 − b12 , b21 − b22 } These two inequalities combine...

Ngày tải lên: 14/03/2014, 22:20

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Đề tài " Isometric actions of simple Lie groups on pseudoRiemannian manifolds " potx

Đề tài " Isometric actions of simple Lie groups on pseudoRiemannian manifolds " potx

... G-invariance of the metric on M and the previous results, it is easy to conclude that the map G × N → M as above is a local isometry On the other hand, the Levi-Civita connection on G is bi-invariant ... variations of important results concerning volume preserving G-actions Based on this, we propose the problem of extending such theorems to volume preserving G-actions more general than those considered ... rankR (G) ≥ any analytic engaging G-action on a manifold X preserving a unimodular rigid geometric structure has a fully entropic virtual arithmetic quotient (see [LZ1], [LZ2] and [Zim8] for the...

Ngày tải lên: 22/03/2014, 20:20

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Báo cáo khoa học: Contribution of exofacial thiol groups in the reducing activity of Lactococcus lactis docx

Báo cáo khoa học: Contribution of exofacial thiol groups in the reducing activity of Lactococcus lactis docx

... activity of L lactis Bacteria are able to sense the extra or intracellular environmental redox state with redox sensing mechanisms related to the thioldisulde balance and adapt their cell activity ... R, Jeanson S, Aldarf M & Divies C (2002) Characterisation of lactic starters based on acidication and reduction activities Le Lait 82, 281288 Alwazeer D, Delbeau C, Divies C & Cachon R (2003) Use ... nal pH of 4.7 These results were obtained in oxygen free medium The reducing activity of L lactis has only been previously reported for cultures in static aerobic batch conditions [3] We can thus...

Ngày tải lên: 22/03/2014, 21:21

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Báo cáo khoa học: Does different orientation of the methoxy groups of ubiquinone-10 in the reaction centre of Rhodobacter sphaeroides cause different binding at QA and QB? potx

Báo cáo khoa học: Does different orientation of the methoxy groups of ubiquinone-10 in the reaction centre of Rhodobacter sphaeroides cause different binding at QA and QB? potx

... (ring-)C-O vibrations of the methoxy groups, occur (spectral range not shown) This is in agreement with previous assignments of C¼C and C¼O vibrations [10,11] A detailed discussion of the C¼C and C¼O vibrations ... – whereas a QA vibration should cause a negative one The – – C-O vibration of QA however, shows highly coupled , behaviour on isotopic labelling, as described and discussed previously [10,11,26] ... combined (ring-)C-C vibration and C-O vibration of the methoxy groups [29] The latter proposal agrees with our results We did not observe an isolated vibration, but both methoxy vibrations were coupled...

Ngày tải lên: 23/03/2014, 21:20

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mirrors and reflections- the geometry of finite reflection groups - a. borovik, a. borovik

mirrors and reflections- the geometry of finite reflection groups - a. borovik, a. borovik

... 64 64 vii viii 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 Chambers and the baricentric subdivision Generation ... A = B Systems of linear equations The standard theory of systems of simultaneous linear equaitions characterises affine subspaces as solution sets of systems of linear equations a11 x1 + · · · + ... A Borovik • Mirrors and Reflections • Version 01 • 25.02.00 which gives us (χ, α) = But this is the equation of the hyperplane normal to the vector α directed along the segment [a, b] Obviously...

Ngày tải lên: 31/03/2014, 16:16

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báo cáo hóa học: " Work and diet-related risk factors of cardiovascular diseases: comparison of two occupational groups" doc

báo cáo hóa học: " Work and diet-related risk factors of cardiovascular diseases: comparison of two occupational groups" doc

... Agric Environm 2004, 2:74-78 46 Kivimäki M, Virtanen M, Elovainio M, Kouvonen A, Vaananen A, Vahtera J: Work stress in the etiology of coronary heart disease -a meta-analysis Scand J Work Environ ... subsequent follow-up study after ten years is also essential to provide data on the progression of the risk in the reviewed groups Abbreviations (ALA): alpha linoleic acid; (AA): arachidonic acid; ... conditions, chefs endorse a nutritional state and behaviour that is not beneficial for cardiovascular health At first sight, however, there was no evidence to support this hypothesis as body weight,...

Ngày tải lên: 20/06/2014, 00:20

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Báo cáo hóa học: " The role of different methanogen groups evaluated by Real-Time qPCR as high-efficiency bioindicators of wet anaerobic co-digestion of organic waste" ppt

Báo cáo hóa học: " The role of different methanogen groups evaluated by Real-Time qPCR as high-efficiency bioindicators of wet anaerobic co-digestion of organic waste" ppt

... DNA quantity extracted was 3.51 ± 1.53 ng/μl, and DNA quality was evaluated by gel electrophoresis before the chain reaction Only samples with a DNA quantity above ng/μl and of sufficient quality ... 1:5 dilution of DNA extracts for amplification This quantity of sample was evaluated as the best among various tested quantities for obtaining quantifications within the standard curve range and ... Nosrati M, Sreekrishnan TR (2010) Anaerobic digestion from the viewpoint of microbiological, chemical, and operational aspects - a review Environ Rev 18:255–278 doi:10.1139/A10-011 Barber RD, Zhang...

Ngày tải lên: 20/06/2014, 23:20

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Báo cáo toán học: " On the Representation Categories of Matrix Quantum Groups of Type A" docx

Báo cáo toán học: " On the Representation Categories of Matrix Quantum Groups of Type A" docx

... Algebraic aspects of the quantum Yang-Baxter equation, Leningrad Math J (1991) 801–828 P H Hai, Poincar´ series of quantum qpaces associated to Hecke operators, Acta e Math Vietnam 24 (1999) 236–246 ... generators j The algebras ∧ and S are called the quantum anti-symmetric and quantum symmetric algebras associated to R Together they ”define” a quantum vector space The algebra E is in fact a bialgebra ... Matrix Quantum Groups of Type A 367 N P Dung and P H Hai, On the Poincar´ series of quadratic algebras associated e to Hecke symmetries, Intern Res Math Notices 40 (2003) 2193–2203 D I Gurevich,...

Ngày tải lên: 06/08/2014, 05:20

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Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx

Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx

... [20] S Yuzvinsky, Cohomology of the Brieskorn-Orlik-Solomon algebras, Comm Algebra 23 (1995), no 14, 5339–5354 ˇ [21] G M Ziegler and R Zivaljevi´, Homotopy types of subspace arrangements via c diagrams ... zj if i and j lie in the same block of τ and zi = lj for i ∈ Bj in case lj = Obviously, this is an order preserving map to LAcol,s Conversely, we map each element n V ∈ LAcol,s to the colored ... to the poset on the left hand side is obvious, since all blocks can be split independently The second isomorphism then follows from Remark 3.3 By the previous lemma it suffices to consider the Sn...

Ngày tải lên: 07/08/2014, 06:20

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Báo cáo toán học: "Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups" docx

Báo cáo toán học: "Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups" docx

... generalized quaternion group Q2m or the dihedral group Dpm of order 2pm , where p is a prime, the answer to the above question is affirmative The Generalized Quaternion Group Let m ≥ The generalized quaternion ... uniquely written as αi β j with ≤ i < N and ≤ j ≤ Clearly, equations (2.1) and (2.2), hence (2.3) – (2.6), also hold for DN In these equations, the only difference between DN and Q2m that affects ... 2m−2 , min{ν2 (i1 ), , ν2 (is ), m − 2} ≥ ν, ≤ e < 2m−1−ν , e ≡ (mod 2), t > Proof (i) is obvious (ii) We first observe that different tuples in (3.1) have different combinations of invariants...

Ngày tải lên: 07/08/2014, 21:20

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Báo cáo toán học: "Fixing Numbers of Graphs and Groups" pptx

Báo cáo toán học: "Fixing Numbers of Graphs and Groups" pptx

... #R39 If o (vi ) is the number of vertices in orb (vi ) under the action of stab({v1 , , vi 1 }), then | stab({v1 , , vi 1 })| = o (vi )| stab({v1 , , vi })| So | Aut(G)| = Π1≤i≤k o (vi ) Hence ... elementary divisors of Γ [8] Theorem 14 Let Γ be a finite abelian group, and let k be the number of elementary divisors of Γ Then fix(Γ) = {1, , k} Proof Let Γ = Γ1 × × Γk be the elementary divisor ... elementary divisor, then the result follows from Lemma 13 Suppose that Γ has k > elementary divisors We choose an the electronic journal of combinatorics 16 (2009), #R39 elementary divisor pm of...

Ngày tải lên: 07/08/2014, 21:21

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báo cáo khoa học: "Predictive genetic testing for the identification of high-risk groups: a simulation study on the impact of predictive ability" pot

báo cáo khoa học: "Predictive genetic testing for the identification of high-risk groups: a simulation study on the impact of predictive ability" pot

... calculated the sensitivity, specificity, PPV and NPV for each possible threshold The sensitivity is the percentage of individuals classified at high-risk among affected individuals and specificity ... individuals and specificity is the percentage of individuals classified as not being at high-risk among unaffected individuals PPV is the probability that individuals classified at highrisk will develop ... of the affected individuals (lower sensitivity) Comparison of the graphs (Figure 2a-c) shows that for thresholds within the observed range of genetic risk scores, sensitivity and PPV were higher...

Ngày tải lên: 11/08/2014, 12:21

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Báo cáo y học: " Association of ABO blood groups with Chikungunya virus Short report" doc

Báo cáo y học: " Association of ABO blood groups with Chikungunya virus Short report" doc

... live chikungunya virus vaccine TSI-GSD-218 Am J Trop Med Hyg 2000, 62:681-685 Powers AM, Logue CH: Changing patterns of chikungunya virus: reemergence of a zoonotic arbovirus J Gen Virol 2007, 88:2363-2377 ... different blood groups: O, A, B and AB (Both Rh positive and Rh Negative individuals) when compared to healthy individuals Chi-square test (χ2 test) statistic was also carried out to observe the association ... have acquired CHIKV infection and 987(65.8%) individuals reported absence of CHIKV fever Among these 513 individuals 409 (79.7%) patients were previously confirmed of CHIKV infection by Medical...

Ngày tải lên: 12/08/2014, 04:20

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