Quantum homogeneous spaces of connected Hopf algebras

Brown, K. and Gilmartin, P. (2015) Quantum homogeneous spaces of connected Hopf algebras. Journal of Algebra, 454, pp. 400-432.

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Abstract

Let H be a connected Hopf k-algebra of finite Gel'fand-Kirillov dimension over an algebraically closed field k of characteristic 0. The objects of study in this paper are the left or right coideal subalgebras T of H. They are shown to be deformations of commutative polynomial k-algebras. A number of well-known homological and other properties follow immediately from this fact. Further properties are described, examples are considered, invariants are constructed and a number of open questions are listed.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Brown, Professor Kenneth
Authors: Brown, K., and Gilmartin, P.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Algebra
Publisher:Elsevier
ISSN:0021-8693
ISSN (Online):1090-266X
Copyright Holders:Copyright © 2016 Elsevier B. V.
First Published:First published in Journal of Algebra 454:400-432
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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