13 citations · 46 across the 16 of their papers we have counts for
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math.RA2019
Extended commutator algebra for the -oscillator and a related Askey-Wilson algebra
Rafael Reno S. Cantuba
Let be a nonzero complex number that is not a root of unity. In the -oscillator with commutation relation , it is known that the smallest commutator algebr…
math.RA2019
Ubiquitous Lie polynomials in a two-generator universal enveloping algebra
Rafael Reno S. Cantuba
The universal enveloping algebra of a two-dimensional nonabelian Lie algebra is a Lie algebra itself with the commutator as Lie bracket. There exists a presentati…
math.RA2019★ 6 cited
Torsion-type -deformed Heisenberg algebra and its Lie polynomials
Rafael Reno S. Cantuba, Sergei Silvestrov
Given a scalar parameter , the -deformed Heisenberg algebra is the unital associative algebra with two generators that satisfy the -deformed commuta…