关于Kleshchev多重剖分的刻画
发布时间：2019-02-12 09:32
【摘要】：本文首先回顾了Hecke代数表示及组合理论的相关知识,引入了Kleshchev多重剖分、(Q,e)-限制多重剖分、ladder多重剖分以及强ladder多重剖分的定义.广义Dippper-James-Murphy猜想断言前两个组合概念完全一致.在这篇论文中,我们证明了当e=2且v1≤v2≤…≤vr时广义DJM猜想成立.我们的主要结果是当e=2且v1≤v2≤…≤vr时,若λ∈Pr(n),则λ∈Kr(n)当且仅当λ是(Q,e)-限制的,也当且仅当λ是ladder多重剖分,也当且仅当λ是强adder多重剖分.
[Abstract]:In this paper, we first review the knowledge of Hecke algebraic representation and combinatorial theory, and introduce the definitions of Kleshchev multiple subdivision, (QUE) -restricted multiple subdivision, ladder multiple subdivision and strong ladder multiple subdivision. Generalized Dippper-James-Murphy conjecture asserts that the first two combinatorial concepts are identical. In this paper, we prove that when eg 2 and v 1 鈮，
本文编号：2420310
[Abstract]:In this paper, we first review the knowledge of Hecke algebraic representation and combinatorial theory, and introduce the definitions of Kleshchev multiple subdivision, (QUE) -restricted multiple subdivision, ladder multiple subdivision and strong ladder multiple subdivision. Generalized Dippper-James-Murphy conjecture asserts that the first two combinatorial concepts are identical. In this paper, we prove that when eg 2 and v 1 鈮，
本文编号：2420310
本文链接：https://www.wllwen.com/kejilunwen/yysx/2420310.html
