Publication:
A NEW QUANTUM SUPERGROUP AND ITS GAUSS DECOMPOSITION

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2021

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PERGAMON-ELSEVIER SCIENCE LTD

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Article

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Abstract

We get a new quantum supergroup (Hopf superalgebra), denoted by GL(q) (211), by using the standard method (the RU-relation) with an R-matrix which is a solution of the quantum Yang- Baxter equation. We give the Gauss decomposition of a matrix in GL(q) (211) and considering the three matrices in the decomposition in pairs, we show that two superalgebras formed by matrix elements of these matrices are Hopf superalgebras.

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REPORTS ON MATHEMATICAL PHYSICS

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0034-4877

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quantum superspaces , Hopf superalgebra , Gauss decomposition , DEFORMATION , Physics

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https://hdl.handle.net/20.500.14981/62385

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