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arxiv: 0901.2335 · v1 · submitted 2009-01-15 · 🧮 math.QA · math-ph· math.MP

Heisenberg-Type Families in U_q(widehat{sl₂})

classification 🧮 math.QA math-phmath.MP
keywords familygeneratorsheisenberg-typewidehatalgebracommutatordeformeddrinfeld
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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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