Primed Decomposition Tableaux and Extended Queer Crystals

IF 0.6 4区 数学 Q3 MATHEMATICS
Eric Marberg, Kam Hung Tong
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引用次数: 0

Abstract

Our previous work introduced a category of extended queer crystals, whose connected normal objects have unique highest weight elements and characters that are Schur Q-polynomials. The initial models for such crystals were based on semistandard shifted tableaux. Here, we introduce a simpler construction using certain “primed” decomposition tableaux, which slightly generalize the decomposition tableaux used in work of Grantcharov et al. This leads to a new, shorter proof of the highest weight properties of the normal subcategory of extended queer crystals. Along the way, we analyze a primed extension of Grantcharov et al.’s insertion scheme for decomposition tableaux.

启动分解表和扩展酷儿晶体
我们之前的工作介绍了一类扩展酷儿晶体,其连接的正常物体具有唯一的最高权重元素和舒尔q -多项式特征。这种晶体的最初模型是基于半标准移位的场景。在这里,我们介绍了一个更简单的结构,使用某些“启动”分解表,它稍微推广了Grantcharov等人在工作中使用的分解表。这导致了一个新的,较短的证明的最高重量性质的正常子类的扩展酷儿晶体。在此过程中,我们分析了Grantcharov等人的分解表插入方案的一个启动扩展。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
61
审稿时长
6-12 weeks
期刊介绍: Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.
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