Nichols algebras over classical Weyl groups(II)-Reference-Cited by-同舟云学术

Nichols algebras over classical Weyl groups(II)

Published:2021-03-11 Issue:06 Volume:32 Page:2150033
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Wu Weicai¹^ORCID

Affiliation:

1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, P. R. China

Abstract

It is shown that except in three cases conjugacy classes of classical Weyl groups [Formula: see text] and [Formula: see text] are of type [Formula: see text]. This proves that Nichols algebras of irreducible Yetter–Drinfeld modules over the classical Weyl groups [Formula: see text] (i.e. [Formula: see text]) are infinite dimensional, except the class of type [Formula: see text] in [Formula: see text], and [Formula: see text] in [Formula: see text] for [Formula: see text].

Funder

Hunan Provincial Natural Science Foundation of China

A Project Supported by Scientific Research Fund of Hunan Provincial Education Department

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500336

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1. Classifying Nichols algebras over classical Weyl groups;International Journal of Algebra and Computation;2022-08-19