Đề tài " Hilbert series, Howe duality and branching for classical groups " doc

... duality and branching for classical groups By Thomas J. Enright and Jeb F. Willenbring HILBERT SERIES, HOWE DUALITY AND BRANCHING 355 indices x  ,y  ,j  for λ  are not equal to ... the Hilbert series in reduced form for L is: (5.6.2) H L (q)= dim F ∅ dim E ∅ P (q) (1 − q) d . Annals of Mathematics, 159 (2004), 337–375 Hilbert series, Howe du...

Ngày tải lên: 22/03/2014, 16:20

... K  .(49) Any x ∈ K  is also not in some K m and hence (49) holds for any n>mand hence it holds for g. With (43) and (42) we can use Lemma 8 and get (38) which proves Lemma 5. 3.8. The Taylor ... |h  j (x)|≤β,|h  j (x)|≤β 2 ∀x ∈ I i +[−τ,τ],i⊂ j,(53) where “+” stands for regular set addition. Let t 1 and t 2 be two random vari- ables, uniformly distributed on [0,τ], a...

Ngày tải lên: 29/03/2014, 07:20

... Geometric Langlands duality and representations of algebraic groups over commutative rings By I. Mirkovi´c and K. Vilonen* LANGLANDS DUALITY AND ALGEBRAIC GROUPS] 113 We will now ... LANGLANDS DUALITY AND ALGEBRAIC GROUPS] 103 but (g K ) −ψ does. We conclude that for the SL 2 -subgroup generated by the one parameter subgroups U ±ψ the orbit through L ν is a...

Ngày tải lên: 06/03/2014, 08:21

... Hattori’s Theorem 3 [Hat]. Randell’s formula for the π  -coinvariants of π p (M  ) ([R1,Th.2 and Prop.9]) readily follows from (i), (ii) and (iv). He also raised the question of π  -freeness for π p (M  ), ... Milnor fibers and higher homotopy groups of arrangments By Alexandru Dimca and Stefan Papadima Introduction The interplay between geometry and topology on complex alg...

Ngày tải lên: 14/02/2014, 16:20

... STRUCTURES 591 and V. Kharlamov for a useful conversation, V. Kulikov and Sandro Manfre- dini for pointing out some nonsense, Sandro again for the nice picture, and finally Grzegorz Gromadzki for pointing ... f  (y)=f  (z)ifand only if z ∈ Ay and then the branching indices of y,z for f  are the same. On the other hand, the branching index of y for f  is the product...

Ngày tải lên: 14/02/2014, 16:20

... Okounkov and R. Pandharipande, Gromov-Witten theory, Hurwitz numbers, and matrix models, I, preprint 2001, math.AG/0101147. 124 C. FABER AND R. PANDHARIPANDE [P] R. Pandharipande,Hodge integrals and ... spaces and the Prym map, in preparation. [FaP1] C. Faber and R. Pandharipande,Hodge integrals and Gromov-Witten theory, Invent. Math. 139 (2000), 173–199. [FaP2] , Logarithmic se...

Ngày tải lên: 05/03/2014, 23:20

... E(−n). 9. Proof of Theorems C and D We now compute the Dolbeault cohomology for thick flag varieties. For convenience, in this section we write X for X Σ and M for M(Σ), and continue to assume that ... Dolbeault cohomologies H q (Ω p ) and the Hodge- de Rham sequence for flag varieties of loop groups. For the loop Grassman- nian X, these are described formally from H • (BG)...

Ngày tải lên: 06/03/2014, 08:21

... 19       !! (Internet Security and Acceleration Server) "#$ %&'()%*'+,-'(./'" Thầy:

Ngày tải lên: 06/03/2014, 18:20

... and multiplication defined by the usual multiplication for polynomials and the rule aµ = µα(a) [Co1, p. 54]. The form above for any element f is unique [Co2, p. 49]. Note also that (for a −m and ... (h)-solvability and Whitney towers 1.2. Linking forms, intersection forms, and solvable representations of knot groups 1.3. L 2 -signatures 1.4. Paper outline and acknowledgement...

Ngày tải lên: 14/03/2014, 22:20

... an asymptotically weaker form of (2.10) for p = 2 (say) and q = ∞. Talagrand [T 87, T 03] proved (2.10) for p =2,q = ∞ up to a factor of log M (1/t)on the right side and under minimal regularity ... by Bartlett, Kulkarni and Posner [BKP], thus yielding (2.10) with log 2 (1/t) for p =1,q = ∞. The optimal estimate (2.10) for all p and for q = ∞ was proved by Mendelson and th...

Ngày tải lên: 22/03/2014, 20:20