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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2007 Volume 3, Number 2, Pages 157–175 (Mi jmag56)

Spherical principal series of quantum Harish-Chandra modules

O. Bershteina, A. Stolinb, L. Vaksmana

a Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
b Chalmers University of Technology, Göteborg, Sweden

Abstract: The nondegenerate spherical principal series of quantum Harish-Chandra modules is constructed. These modules appear in the theory of quantum bounded symmetric domains.

Key words and phrases: quantum groups, spherical principal series.

MSC: 17B37, 22E45

Received: 28.09.2006

Language: English



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