An extension of a q-deformed Heisenberg algebra and a solution to the corresponding Lie polynomial characterization problem

• Main Author: Merciales, Mark Anthony C.
• Format: text
• Language: English
• Published: Animo Repository 2018
• Subjects: Associative algebras; Lie algebras
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/6296; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/13378/viewcontent/An_extension_of_a_q_deformed_Heisenberg_algebra2....pdf
• Institution: De La Salle University

Let F be a field and fix a q ϵ F. The q-deformed Heisenberg algebra H(q) is the unital associative algebra over F with generators A, B and relation AB - qBA = I, where I is the multiplicative identity in H(q). We extend H(q) into an algebra R(q) defined by generators A, B and a relation which assert...