论文标题

A型A型喀西瓦拉晶体的非捕获性规范基础计算

Nonrecursive canonical basis computations for low rank Kashiwara crystals of type A

论文作者

Amara-Omari, Ola, Schaps, Mary

论文摘要

对于$ a $ and等级$ e = 2 $的对称的kashiwara晶体,对于我们称之为外部的规范基础元素,对应于喀什瓦拉晶体外部皮肤上的权重,我们以非调查方式构建规范基础元素。特别是,对于具有$λ=aλ_0+aλ_1$的对称晶体,我们为所有具有缺陷的$ e $ e $ groumbular多分街的规范基础元素提供了公式。

For symmetric Kashiwara crystals of type $A$ and rank $e=2$, and for the canonical basis elements that we call external, corresponding to weights on the outer skin of the Kashiwara crystal, we construct the canonical basis elements in a non-recursive manner. In particular, for a symmetric crystal with $Λ=a Λ_0+a Λ_1$, we give formulae for the canonical basis elements for all the $e$-regular multipartitions with defects either $k(a-k)$ or $k(a-k)+2a$, for $0 \leq k \leq a$.

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