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This article is cited in 2 scientific papers (total in 2 papers)
Heisenberg-Type Families in $U_q(\widehat{sl_2})$
Alexander Zuevsky Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Abstract:
Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(\widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.
Keywords:
quantized universal enveloping algebras; Heisenberg-type families.
Received: October 20, 2008; in final form January 13, 2009; Published online January 15, 2009
Citation:
Alexander Zuevsky, “Heisenberg-Type Families in $U_q(\widehat{sl_2})$”, SIGMA, 5 (2009), 006, 4 pp.
Linking options:
https://www.mathnet.ru/eng/sigma352 https://www.mathnet.ru/eng/sigma/v5/p6
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Abstract page: | 305 | Full-text PDF : | 61 | References: | 42 |
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