Lie polynomial characterization problems

• Main Authors: Cantuba, Rafael Reno S., Silvestrov, Sergei
• Format: text
• Published: Animo Repository 2020
• Subjects: Lie algebras; Polynomials; Associative algebras; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/1996
• Institution: De La Salle University

We present a review of some results about Lie polynomials in finitely-generated associative algebras with defining relations that involve deformed commutation relations. Such algebras have arisen from various areas such as in the theory of quantum groups, of q-oscillators, of q-deformed Heisenberg a...