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  On finite GK-dimensional Nichols algebras of diagonal type

Andruskiewitsch, N., Angiono, I., & Heckenberger, I. (2019). On finite GK-dimensional Nichols algebras of diagonal type. In Tensor Categories and Hopf Algebras. Providence: American Mathematical Society.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-5ABA-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0005-5ABB-4
Genre: Conference Paper

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 Creators:
Andruskiewitsch, Nicolás, Author
Angiono, Iván1, Author           
Heckenberger, István, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Quantum Algebra, Rings and Algebras
 Abstract: We conjectured in a previous paper that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the rank is 2. We also show that a Nichols algebra of affine Cartan type has infinite Gelfand-Kirillov dimension.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1803.08804
URI: http://arxiv.org/abs/1803.08804
DOI: 10.1090/conm/728/14653
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Title: Scientific session of the Mathematical Congress of the Americas Hopf Algebras and Tensor Categories
Place of Event: Montreal
Start-/End Date: 2017-07-27 - 2017-07-28

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Title: Tensor Categories and Hopf Algebras
Source Genre: Book
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Publ. Info: Providence : American Mathematical Society
Pages: viii, 199 Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISBN: 978-1-4704-4321-4
DOI: 10.1090/conm/728

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Title: Contemporary mathematics
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Pages: - Volume / Issue: 728 Sequence Number: - Start / End Page: - Identifier: -