|
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 152–162
(Mi tm535)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Combinatorial Identities Related to Representations of $U_q(\widetilde{\mathfrak{gl}_2})$
V. O. Tarasov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
We present certain combinatorial identities related to tensor products of evaluation representations of the quantum loop algebra $U_q(\widetilde{\mathfrak{gl}_2})$ or the elliptic quantum group $E_{\rho,\gamma}(\mathfrak{sl}_2)$. The simplest example of the obtained identities was discovered by N. Jing from the validity of the Serre relations in some vertex representations of quantum Kac–Moody algebras.
Received in April 1999
Citation:
V. O. Tarasov, “Combinatorial Identities Related to Representations of $U_q(\widetilde{\mathfrak{gl}_2})$”, Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Trudy Mat. Inst. Steklova, 226, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 152–162; Proc. Steklov Inst. Math., 226 (1999), 138–148
Linking options:
https://www.mathnet.ru/eng/tm535 https://www.mathnet.ru/eng/tm/v226/p152
|
|