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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 006, 4 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.006 (Mi sigma352) 		 
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
Full-text PDF (171 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2009.006
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
Bibliographic databases:
Document Type: Article
MSC: 17B37; 20G42; 81R50
Language: English
Citation: Alexander Zuevsky, “Heisenberg-Type Families in $U_q(\widehat{sl_2})$”, SIGMA, 5 (2009), 006, 4 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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