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Quantum matrix ball: differential and integral calculi

D. Shklyarov·S. Sinel'shchikov·L. Vaksman
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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.

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D. Shklyarov, S. Sinel'shchikov, L. Vaksman. 1999-08-09. Quantum matrix ball: differential and integral calculi. https://arxiv.org/abs/math/9905035

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