Báo cáo toán học: " Weights of partitions and character zeros" pps

... the proof of Theorem 1.1 is complete, and with this result at hand, we may now prove Theorem 1.2 and Theorem 1.5. Proof of Theorem 1.2. First, take a non-linear irreducible character χ of S n ;thus, χ ... 2 and four cases where it ends on 3, namely for 10, 50, 100 and 15.856.204. 4 Proofs of the main results We first give the proof of Theorem 1.1. Let λ =(λ 1 ,λ 2 , ,λ l )...

Ngày tải lên: 07/08/2014, 08:22

... ordinary and the Schubert product of two characters and for some special skew characters the cover partition C, which is the partition which contains all partitions whose corresponding character ... between the LR-tableaux A of shape A and 1s in the top boxes of every column and arbitrary LR-tableaux D of shape D, where D is the skew diagram A with the top boxes of every...

Ngày tải lên: 07/08/2014, 15:22

... 57. Middelhoff U, Reuter H, Breckling B: GeneTraMP, a spatio-temporal model of the dispersal and persistence of transgenes in feral, volunteer and crop plants of oilseed rape and related species. ... the introduction of Bt maize. Figure 1 depicts the distribution of the corn borer in the federal state of Brandenburg for the years 2005, 2006 and 2007. Some of the d...

Ngày tải lên: 20/06/2014, 20:20

... terms of the restriction of characters of G. (This applies for instance to multiple homogeneity and multiple transitivity of H,andsoon.) In this situation, when G =Sym n , our theorem solves the character ... u. The proof of our theorem now follows from a sequence of lemmas. The first lemma shows in passing that small subpartitions of S(m) have no corners at all. Lemma 2. Let...

Ngày tải lên: 07/08/2014, 08:22

... r α⊙β and r 2m = r 1 . . . 1  2m , m  1. We devote the next subsection to the proof of this theorem. 3.3 Equivalence of relations We say that the set of relationships A implies the set of relationships ... focus of our results, and hence we now establish some of its basic properties. the electronic journal of combinatorics 16 (2009), #R110 5 2.2 Preliminary pr operties...

Ngày tải lên: 08/08/2014, 01:20

... reduced and in  W S if and on l y if a t least one of the following hold: 1. i < k and j < l. 2. k + l > n and i < k and j ≤ l. 3. i + j > n and i ≤ k and j ≤ l. Proof. By Theorem 62(2), ... 1)-core partitions and n-bounded partitions. Our main application is to characterize the rationally sm ooth Schubert varieties in the affine Grassmanni- ans in terms of...

Ngày tải lên: 08/08/2014, 01:20

... reduced and in  W S if and on l y if a t least one of the following hold: 1. i < k and j < l. 2. k + l > n and i < k and j ≤ l. 3. i + j > n and i ≤ k and j ≤ l. Proof. By Theorem 62(2), ... in  W S and a subset of partitions that preserves length. The goal of this paper is to give such a bijection which has useful implications in terms of the geomet...

Ngày tải lên: 08/08/2014, 11:20

... leaves and a subset of permutations of the set {2, ¯ 2, 3, ¯ 3, . . . , n, ¯n}. This string of symbols is called the name of a cladogram. Deletion of the leaf labeled n corresponds to deletion of ... Tinhofer. Landscapes on spaces of trees. Journal of Applied Mathematics and Computation, 131(2–3):439– 459, September 2002. [3] Louis J. Billera, Susan P. Holmes, and Karen...

Ngày tải lên: 08/08/2014, 12:22

... elements of M ′ and to the vertices) in the face ∆ A ′ (x) of ∆. Thus, a cyclic flat F of M ′ of rank i is the set of elements in some face of ∆ with i vertices. The affine representation of M is ... result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unio...

Ngày tải lên: 08/08/2014, 14:23