A three-parametric deformation of GL(1/1)
Nguyen Anh Ky, Nguyen Thi Hong Van
TL;DR
This paper introduces a new three-parameter R-matrix satisfying a graded Yang-Baxter equation, leading to the construction of novel quantum supergroups as deformations of GL(1/1) and its universal enveloping algebra.
Contribution
It presents a new three-parametric R-matrix that enables the creation of deformed quantum supergroups related to GL(1/1).
Findings
New three-parametric R-matrix satisfying graded Yang-Baxter equation.
Construction of deformed quantum supergroups of GL(1/1).
Extension of universal enveloping algebra U[gl(1/1)] with new deformation.
Abstract
A three-parametric -matrix satisfying a graded Yang-Baxter equation is introduced.This -matrix allows us to construct new quantum supergroups which are deformations of the supergroup and the universal enveloping algebra .
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models