Quantum matrix ball: differential and integral calculi

D. L. Shklyarov, Sergey D. Sinelshchikov, L. L. Vaksman

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.

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General mathematical topics and methods in quantum theory (81Q99)

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