Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras

Zhekun He; Jinkui Wan

doi:10.1007/s11464-021-0241-1

Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras

Zhekun He
, Jinkui Wan^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

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.

源语言	英语
页（从-至）	47-63
页数	17
期刊	Frontiers of Mathematics
卷	18
期	1
DOI	https://doi.org/10.1007/s11464-021-0241-1
出版状态	已出版 - 1月 2023

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10.1007/s11464-021-0241-1

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title = "Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras",

abstract = "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.",

keywords = "05E10, 20C08, Degenerate affine Hecke—Clifford algebra, Zelevinsky involution, completely splittable representation, skew Young diagram",

author = "Zhekun He and Jinkui Wan",

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KW - skew Young diagram

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Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras

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