The Small Quantum Group as a Quantum Double
DownloadEtingof J Algebbra 2009.pdf (145.3Kb)
PUBLISHER_POLICY
Publisher Policy
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Terms of use
Metadata
Show full item recordAbstract
We prove that the quantum double of the quasi-Hopf algebra View the MathML source of We prove that the quantum double of the quasi-Hopf algebra Aq(g)
of dimension ndimg attached in [P. Etingof, S. Gelaki, On radically
graded finite-dimensional quasi-Hopf algebras, Mosc. Math. J. 5
(2) (2005) 371–378] to a simple complex Lie algebra g and a
primitive root of unity q of order n2 is equivalent to Lusztig’s
small quantum group uq(g) (under some conditions on n). We also
give a conceptual construction of Aq(g) using the notion of deequivariantization
of tensor categories.
Date issued
2009-07Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Journal of Algebra
Publisher
Elsevier
Citation
Etingof, Pavel, and Shlomo Gelaki. “The Small Quantum Group as a Quantum Double.” Journal of Algebra 322.7 (2009) : 2580-2585.
Version: Author's final manuscript
ISSN
0021-8693