Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary. We also quantize W(Γ) using the Drinfeld-twist quantization technique and identif...

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Bibliographic Details
Published in:Axioms 2025-01, Vol.14 (1), p.7
Main Authors: Yang, Yu, Wang, Xingtao
Format: Article
Language:English
Subjects:
Algebra
generalized loop planar-Galilean conformal algebra
Lie bialgebra
quantization
Researchers
Symmetry
Vector space
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Summary:In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary. We also quantize W(Γ) using the Drinfeld-twist quantization technique and identify a group of noncommutative algebras and noncocommutative Hopf algebras.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms14010007