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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s2 (2006), pp. 151-156
On Some Quantum Bounded Symmetric Domains
O. Bershtein
Institute for Low Temperature Physics and Engineering, Lenin ave. 47, Kharkov 61103, Ukraine
go backInstitute for Low Temperature Physics and Engineering, Lenin ave. 47, Kharkov 61103, Ukraine
Abstract. In the framework of quantum group theory we obtain a noncommutative analog for the algebra of functions in a bounded symmetric domain, endowed with a whole symmetry. Also we provide a construction for its faithfull irreducible representation and an invariant integral over the bounded symmetric domain.