The odd Littlewood–Richardson rule

被引：0

作者：

Alexander P. Ellis

机构：

[1] Columbia University,Department of Mathematics

来源：

Journal of Algebraic Combinatorics | 2013年 / 37卷

关键词：

Symmetric functions; Hopf algebras; Supalgebra; Odd symmetric functions; Hives; Littlewood–Richardson; Schubert calculus;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In previous work with Mikhail Khovanov and Aaron Lauda we introduced two odd analogues of the Schur functions: one via the combinatorics of Young tableaux (odd Kostka numbers) and one via an odd symmetrization operator. In this paper we introduce a third analogue, the plactic Schur functions. We show they coincide with both previously defined types of Schur function, confirming a conjecture. Using the plactic definition, we establish an odd Littlewood–Richardson rule. We also re-cast this rule in the language of polytopes, via the Knutson–Tao hive model.

引用

页码：777 / 799

页数：22

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