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|a Etingof, Pavel I.
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Etingof, Pavel I.
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|a Etingof, Pavel I.
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|a Gelaki, Shlomo
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|a The Small Quantum Group as a Quantum Double
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|b Elsevier,
|c 2011-06-09T12:38:10Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/63597
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|a 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.
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|a National Science Foundation (U.S.) (Grant No. DMS-0504847)
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|a Israel Science Foundation (grant No. 125/05)
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|a BSF (grant No. 2002040)
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|a en_US
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|t Journal of Algebra
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