Three realizations of quantum affine algebra Uq(A2(2))

Alexander Shapiro

doi:10.4213/tmf6572

Three realizations of quantum affine algebra Uq(A₂⁽²⁾)

Alexander Shapiro

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we establish explicit isomorphisms between three realizations of quantum twisted affine algebra Uq(A(2)2): the Drinfeld ("current") realization, the Chevalley realization and the so-called RLL realization, investigated by Faddeev, Reshetikhin and Takhtajan.

Original language	English
Pages (from-to)	217–232
Number of pages	15
Journal	Theoretical and Mathematical Physics
Volume	165
Issue number	2
DOIs	https://doi.org/10.4213/tmf6572
Publication status	Published - 30 Nov 2010

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10.4213/tmf6572

1009.1932Accepted author manuscript, 161 KB

https://arxiv.org/abs/1009.1932

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Three realizations of quantum affine algebra Uq(A2(2))

Abstract

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Three realizations of quantum affine algebra Uq(A₂⁽²⁾)