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

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

2009-01-15

arxiv.org/abs/0901.2335v1

SIGMA 5 (2009), 006, 4 pages

Mathematics

Quantum Algebra

Scientific paper

10.3842/SIGMA.2009.006

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.

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