Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras

被引：0
|
作者：
Zhekun He
Jinkui Wan
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
来源：
Frontiers of Mathematics | 2023年 / 18卷
关键词：
Degenerate affine Hecke—Clifford algebra; Zelevinsky involution; completely splittable representation; skew Young diagram; 20C08; 05E10;
D O I：
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学科分类号：
摘要：
We define an analog of Zelevinsky involution on degenerate affine Hecke—Clifford algebras and give an algorithm to compute its action on irreducible completely splittable representations over an algebraically closed field of characteristic not equal to 2 via placed skew shifted Young diagrams.
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页码：47 / 63
页数：16
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