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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2009 Volume 5, 006, 4 pp. (Mi sigma352)

This article is cited 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.

MSC: 17B37; 20G42; 81R50

Received: October 20, 2008; in final form January 13, 2009; Published online January 15, 2009

Language: English

DOI: 10.3842/SIGMA.2009.006



Bibliographic databases:
ArXiv: 0901.2335


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