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Quantization of Schrödinger-Virasoro Lie algebra

2010/04/30 by Yucai Su, Lamei Yuan · 1 citation
Mathematics · #math.QA #msc:17B37 #msc:17B62 #msc:17B68

paper · pdf · doi:10.1007/s11464-010-0036-2

published as Front. Math. China 2010, 5(4): 701-715 · This paper has been published in Front. Math. China

arxiv created 2011/07/17 · arxiv updated 2011/07/19

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.

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