Heisenberg-Type Families in $U_q(\widehat{sl_2})$
Quantum Algebra
2009-01-16 v1 Mathematical Physics
math.MP
Abstract
Using the second Drinfeld formulation of the quantized universal enveloping algebra 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
Cite
@article{arxiv.0901.2335,
title = {Heisenberg-Type Families in $U_q(\widehat{sl_2})$},
author = {Alexander Zuevsky},
journal= {arXiv preprint arXiv:0901.2335},
year = {2009}
}