Báo cáo toán học: "A stability property for coefficients in Kronecker products of complex Sn characters" ppsx

... useful in the study of minimal components, in the dominance order of partitions, of Kr onecker products [14]. The number lr(λ, µ; π) can be described as an inner product of characters. For this description ... (Theorem 2.1 in [9]) gave a close, though intricate, formula for k(λ, µ , ν) valid for any λ of length at most 4; M. Ro sas (Theorem 1 in [10]) gave a formula...

Ngày tải lên: 07/08/2014, 21:21

Ngày tải lên: 05/08/2014, 15:20

... are indexed by a subset J ⊂ I, retaining the original relations. The Dynkin diagram of the cor r esponding object is obtained by deleting the relevant nodes and connecting edges from the original ... automorphism of the un- derlying graph of a Dynkin diagram induces an auto morphism of the Hecke algebra. For the Dynkin diagram of S N , there is exactly one non-trivial auto morphis...

Ngày tải lên: 08/08/2014, 12:23

... of the silver metal contacts of an improved sintering process on the multicrystalline silicon solar cells. In Proceedings of the International Workshop on Physics of Semiconductor Devices: December ... of the key issues in the solar industry is lowering dopant concentration of emitter for high-efficiency crystalline solar cells. However, it is well known that a low surfa...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... to be the smallest integer t , such that in any k-coloring of the edges of K t , there is a complete subgraph K n all of whose edges have the same color. A sum-free partition of [1 ,s ] gives rise ... gives rise to a K 3 -free edge k-coloring of K s+1 by identifying the vertex set of K s+1 with [0 ,s ] and by coloring the edge uv according to the set membership of | u − v |.He...

Ngày tải lên: 07/08/2014, 06:20

... than (1) for m ≥ 8. So the Bollobas conjecture fails for k ≥ 10. The idea of the above construction which improves on products of H 3 can be applied to products of other families as well. For example, ... define f(n) to be the size of the largest possible cancellative family of subsets of a n-set and f(k,n) to be the size of the largest possible cancellative family of...

Ngày tải lên: 07/08/2014, 06:20

... comprehensive picture of the state of the art in 1982. In this note, we shall be specifically interested in cubic (trivalent) cages and note that the current status of the problem can be obtained from Gordon ... that T be a tree, and also considered cubic forests. And we tried replacing the single values of h i by sets of values (we tried sets of size two). Neither of these...

Ngày tải lên: 07/08/2014, 06:20