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Partial Gauss decomposition, \bf $U_q(\widehat{\frak{gl}(n-1)})\in U_q(\widehat{\frak{gl}(n)}) $ and Zamolodchikov algebra

Jintai Ding
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Abstract

We use the idea of partial Gauss decomposition to study structures related to $U_q(\widehat{\frak{gl}(n-1)})$ inside $U_q(\widehat{\frak{gl}(n)}) $. This gives a description of $U_q(\widehat{\frak{gl}(n)})$ as an extension of $U_q(\widehat{\frak{gl}(n-1)})$ with Zamolodchikov algebras, We explain the connection of this new realization with form factors.

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BibTeXRIS

Jintai Ding. 1998-01-19. Partial Gauss decomposition, \bf $U_q(\widehat{\frak{gl}(n-1)})\in U_q(\widehat{\frak{gl}(n)}) $ and Zamolodchikov algebra. https://arxiv.org/abs/math/9801085

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