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arxiv: hep-th/0510085 · v1 · submitted 2005-10-11 · ✦ hep-th · math-ph· math.MP· math.QA

A three-parametric deformation of GL(1/1)

classification ✦ hep-th math-phmath.MPmath.QA
keywords matrixthree-parametricalgebraallowsconstructdeformationdeformationsenveloping
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A three-parametric $R$-matrix satisfying a graded Yang-Baxter equation is introduced.This $R$-matrix allows us to construct new quantum supergroups which are deformations of the supergroup $GL(1/1)$ and the universal enveloping algebra $U[gl(1/1)]$.

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