Quantization of the Lie superalgebra of Witt type

Su, Yucai; Yue, Xiaoqing; Zhu, Xiaoyu

doi:10.1016/j.geomphys.2020.103987

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Cited by 4 publications

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Quantization of the Super-BMS3 Algebra

Yang

Wang

2022

Advances in Mathematical Physics

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In this article, we study quantization of super-BM S 3 algebra W . We quantize W by the Drinfel’d twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.

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Section: Introductionmentioning

confidence: 99%

Quantization of the Super-BMS3 Algebra

Yang

Wang

2022

Advances in Mathematical Physics

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Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras

Amor

Athmouni

Hassine

et al. 2023

Journal of Geometry and Physics

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Thermal Lie superalgebras

Trindade

Pinto

2021

Int. J. Mod. Phys. A

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In this paper, we derive a general formulation for thermal Lie superalgebras motivated by thermofield dynamics formalism (TFD). Particularly, we construct the thermal Poincaré superalgebras. The operators in TFD are defined through the doubling of the degrees of freedom of the system and it can be related to Hopf algebras. In this way, we explore the notion of quantum group associated with these superalgebras and we show the noncommutativity in this thermal scenario. Furthermore, the thermal M-superalgebra is also derived from TFD prescription.

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Quantization of the Lie superalgebra of Witt type

Cited by 4 publications

References 14 publications

Quantization of the Super-BMS3 Algebra

Quantization of the Super-BMS3 Algebra

Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras

Thermal Lie superalgebras

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