On Deformations of Commutation Relation Algebras

1995/06/06 by Robert Rałowski, Rałowski, Robert
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9506004

openalex publication_date 1995/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

This paper is on C - symmetric creation and annihilation operators, which are constructed on Wick's algebras which fulfil consistency conditions. The essential assumption is that every algebraic action must be constant on equivalence classes. All consistency conditions follow from the above assumption. In this way we obtain well defined quotient algebras with some additional relations.

Citations

• Differential calculus on compact matrix pseudogroups (quantum groups)

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