Quantization of Schrödinger-Virasoro Lie algebra
Abstract
In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schrödinger-Virasoro Lie algebra whose Lie bialgebra structures were recently discovered by Han-Li-Su. We give two different kinds of Drinfel'd twists, which are then used to construct the corresponding Hopf algebraic structrues. Our results extend the class of examples of noncommutative and noncocommutative Hopf algebras.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2010
- DOI:
- arXiv:
- arXiv:1004.3646
- Bibcode:
- 2010arXiv1004.3646S
- Keywords:
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- Mathematics - Quantum Algebra;
- 17B37;
- 17B62;
- 17B68
- E-Print:
- This paper has been published in Front. Math. China