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Quantum Weyl algebras
and deformations of U(g)
Naihuan Jing and James Zhang |
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Vol. 171 (1995), No. 2, 437–454
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Abstract |
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We construct new deformations of the universal enveloping algebras from the quantum Weyl algebras for any R-matrix. Our new algebra (in the case of g = sl2) is a noncommutative and noncocommutative bialgebra (i.e. quantum semigroup) with its localization being a Hopf algebra (i.e. quantum group). The ring structure and representation theory of our algebra are studied in the case of sl2. |
Mathematical Subject Classification 2000
Primary: 16W30
Secondary: 16S80, 17B37, 81R50
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Milestones
Received: 3 March 1993
Revised: 6 October 1993
Published: 1 December 1995
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Authors |
| Naihuan Jing | |
| Department of Mathematics North Carolina State University SAS Hall Box 8205 Raleigh NC 27695-8205 United States |
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| James Zhang | |
| Department of Mathematics University of Washington Box 354350 Seattle WA 98195-4350 United States |
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| http://www.math.washington.edu/~zhang/ | |
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