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papers

Publications (19)

math.QA2008

2-Representations and Equivariant 2D Topological Field Theories

D. Shklyarov

math.QA1999

Quantum matrix ball: the Bergman kernel

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

math.QA1998

On Function Theory in Quantum Disc: Covariance

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

math.KT2008

Hirzebruch-Riemann-Roch theorem for DG algebras

D. Shklyarov

math.AG2012

Non-commutative Hodge structures: Towards matching categorical and geometric examples

D. Shklyarov

math.QA2005

Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)

D. Shklyarov, G. Zhang

math.QA1998

Function Theory in the Quantum Matrix Ball: an Invariant Integral

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

math.QA2004

Fock Representations and Quantum Matrices

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

math.RA2007

On Serre duality for compact homologically smooth DG algebras

D. Shklyarov

math.QA1998

On Function Theory in Quantum Disc: A q-Analogue of Berezin Transform

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

math.QA1999

q-Analogue of the Berezin quantization method

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

math.QA1999

On Function Theory in Quantum Disc: q-Differential Equations and Fourier Transform

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

math.QA1998

On Function Theory in Quantum Disc: Invariant Kernels

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

math.QA1998

A $q$-analogue of Berezin Quantization of the Unit Disc

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

math.QA2001

q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc

D. Shklyarov

math.QA1999

Quantum matrix ball: differential and integral calculi

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

math.QA1999

On Function Theory in Quantum Disc: Integral Representations

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

math.QA1999

Quantum matrix ball: the weighted Bergman kernels

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

math.QA2003

Berezin transform on the quantum unit ball

D. Shklyarov, G. Zhang