An extension of a q-deformed Heisenberg algebra and its lie polynomials

• Main Authors: Cantuba, Rafael Reno S., Merciales, Mark Anthony C.
• Format: text
• Published: Animo Repository 2020
• Subjects: Quantum theory; Lie algebras; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/2566
• Institution: De La Salle University

Let F be a field, and fix a q∈F. The q-deformed Heisenberg algebra H(q) is the unital associative algebra over F with generators A, B and a relation which asserts that AB−qBA 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 a...