Torsion-type $q$-deformed Heisenberg algebra and its Lie polynomials
Rings and Algebras
2023-02-15 v1
Abstract
Given a scalar parameter , the -deformed Heisenberg algebra is the unital associative algebra with two generators that satisfy the -deformed commutation relation , where is the multiplicative identity. For of torsion-type, that is if is a root of unity, characterization is obtained for all the Lie polynomials in and basis and graded structure and commutation relations for associated Lie algebras are studied.
Keywords
Cite
@article{arxiv.1905.02156,
title = {Torsion-type $q$-deformed Heisenberg algebra and its Lie polynomials},
author = {Rafael Reno S. Cantuba and Sergei Silvestrov},
journal= {arXiv preprint arXiv:1905.02156},
year = {2023}
}