Báo cáo toán học: "Une base sym´trique de l’alg`bre e e des coinvariants quasi-sym´triques " pdf

... d’indexation de cette nouvelle base est non pas l’ensemble des chemins de Dyck, mais celui des triangulations d’un polygone r´egulier. Cet ensemble joue un rˆole primordial dans la th´eorie des alg`ebres ... l’´egalit´evoulue. Th´eor`eme 2.2 Les polynˆomes B T associ´es aux triangulations forment une base de l’alg`ebre des coinvariants quasi-sym´etriques. Cette base est...

Ngày tải lên: 07/08/2014, 08:22

... forth. The conjugate λ c of λ is the diagram which has λ i boxes in the i-th column. For µ ⊆ λ we de ne the skew diagram λ/µ as the difference of the diagrams λ and µ de ned as the difference of the set ... Since the Durfee size of the cover partition of the product is also the Durfee size of the product itself we can now easily read off the Durfee size of an arbitrary Schubert product. In [Gu...

Ngày tải lên: 07/08/2014, 15:22

... h 6" alt =""

Ngày tải lên: 05/08/2014, 15:20

... h 1" alt =""

Ngày tải lên: 05/08/2014, 15:21

... h 2" alt =""

Ngày tải lên: 05/08/2014, 15:21

... Nguyen City, Vietnam Received Ferbuary 05, 2004 Revised Ferbuary 17, 2005 Abstract In this paper we give a concrete presentation of the elements of the quotient sheaves Ω k r /Θ k r in the variational ... [5] studied the sheaves of differential forms on finite r-jet prolonga- tions J r Y . Then he constructed the sequence of quotient sheaves Ω k r /Θ k r .This quotient sequence is called the va...

Ngày tải lên: 06/08/2014, 05:20

... to the rows of the 4n 4n × 4n subblocks of H. We consider three cases, based on where the three rows of L are located relative to the zones. Case 1 :TherowsofL are selected from the same zone, ... the existence or non- existence of such matrices of order 4n 2 ,forn odd. See [11] for details. For completeness we include the following result of Kharaghani [12]. Theorem 1. If the order of an ......

Ngày tải lên: 07/08/2014, 06:22

... improper.Letpv(F )denotethe the number of proper vertices in F . A plane tree or ordered tree is a tree such that the children of each vertex are linearly ordered. We denote by P n the set of plane trees on ... (1) where the sum is over unlabeled binary trees b on n vertices and h(v) denotes the number of descendants of v (including v). The figure below illustrates all five unlabeled binary tre...

Ngày tải lên: 07/08/2014, 08:22

... transference principle also follows the same basic scheme used to prove Szemer´edi’s theorem (with Szemer´edi’s theorem itself taking on the role of the structured recurrence theorem). Indeed, the ... circle of ideas surrounding van der Waerden’s theorem, and so we have elected to proceed by the simpler and “purer” route of using van der Waerden’s theorem directly. Also, as remarked above, th...

Ngày tải lên: 07/08/2014, 13:21

... numerator and denominator reproduce Eq. (2.7) with c → c − 1 and the parameters α b+c , β a+c removed. This concludes the recurrence. Note immediately the symmetry between the sets of variables ... 1. They are made of three sets of a, b, c nested arches. Here a, b, c are arbitrary integers such that a + b + c = n where the size of the system is 2n. The model depends on 2n complex numbers ......

Ngày tải lên: 07/08/2014, 13:21