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- Title
POINTED HOPF ALGEBRAS WITH CLASSICAL WEYL GROUPS.
- Authors
ZHANG, SHOUCHUAN; ZHANG, YAO-ZHONG
- Abstract
We prove that Nichols algebras of irreducible Yetter-Drinfeld modules over classical Weyl groups A ⋊ 핊n supported by 핊n are infinite dimensional, except in three cases. We give necessary and sufficient conditions for Nichols algebras of Yetter-Drinfeld modules over classical Weyl groups A ⋊ 핊n supported by A to be finite dimensional.
- Subjects
HOPF algebras; WEYL groups; IRREDUCIBLE polynomials; MODULES (Algebra); DIMENSIONAL analysis; GROUP theory; MATHEMATICAL analysis
- Publication
International Journal of Mathematics, 2012, Vol 23, Issue 6, p1250066-1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X12500668