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

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

1998-01-19

arxiv.org/abs/math/9801085v1

Mathematics

Quantum Algebra

Amslatex, 8 pages

Scientific paper

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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