Quantization of Lie Algebras of Generalized Weyl Type

Abstract

Recently, in [25], Lie bialgebra structures on Lie algebras of generalized Weyl type were considered, which are shown to be triangular coboundary. In this paper, we quantize these algebras with their Lie bialgebra structures.

Quantization of the Super-BMS3 Algebra

“…As an application of quantum groups, quantizations of Lie (super-)bialgebra structures were intensively investigated. Recently, some authors have considered the quantization of several algebras, such as [11][12][13][14][15][16][17][18]. These algebras are all centerless.…”