Torsion-type -deformed Heisenberg algebra and its Lie polynomials
arXiv:1905.02156 · doi:10.1007/978-3-030-41850-2_24
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.