Heisenberg-Type Families in $U_q(widehat{sl_2})$

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 fo...

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Bibliographic Details
Main Author: Alexander Zuevsky
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.006