vix.ing · top · new · best · stats · spec

Quantum matrix ball: differential and integral calculi

1999/05/06 by D. Shklyarov, Shklyarov, D., S. Sinel’shchikov +4 · 1 citation
Mathematics · #81R50 (Primary) 81Q99 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.CV #math.OA #math.QA #msc:81Q99 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9905035

LaTeX 2.09, 45 pages

openalex publication_date 1999/05/06 · arxiv created 1999/08/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have introduced q-analogues of bounded symmetric domains in our work q-alg/9703005. Given the simplest ones among those, the works q-alg/9603012 and math.QA/9803110 announce the relations describing the algebras of functions, differential and integral calculi. This paper presents the proofs of these results.

Cited by

Related