Torsion-type q-deformed heisenberg algebra and its lie polynomials
College of Science
Mathematics and Statistics Department
Springer Proceedings in Mathematics and Statistics
Given a scalar parameter q, the q-deformed Heisenberg algebra H(q) is the unital associative algebra with two generators A, B that satisfy the q-deformed commutation relation AB-qBA=I, where I is the multiplicative identity. For H(q) of torsion-type, that is if q is a root of unity, characterization is obtained for all the Lie polynomials in A, B and basis and graded structure and commutation relations for associated Lie algebras are studied. © Springer Nature Switzerland AG 2020.
Digitial Object Identifier (DOI)
Cantuba, R., & Silvestrov, S. (2020). Torsion-type q-deformed heisenberg algebra and its lie polynomials. Springer Proceedings in Mathematics and Statistics, 317, 575-592. https://doi.org/10.1007/978-3-030-41850-2_24
Lie algebras; Polynomials