Quantization of Schrödinger-Virasoro Lie algebra

Details Quantization of Schrödinger-Virasoro Lie algebra Quantization of Schrödinger-Virasoro Lie algebra

2010-04-21

arxiv.org/abs/1004.3646v4

Front. Math. China 2010, 5(4): 701-715

Mathematics

Quantum Algebra

This paper has been published in Front. Math. China

Scientific paper

10.1007/s11464-010-0036-2

In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schr\"odinger-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.

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