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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76509We 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.Amslatex, 8 pagesQuantum Algebra17BPartial Gauss decomposition, \bf $U_q(\widehat{\frak{gl}(n-1)})\in U_q(\widehat{\frak{gl}(n)}) $ and Zamolodchikov algebratext