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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 436, Pages 112–121 (Mi znsl6162)

This article is cited in 2 papers

Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations

A. M. Vershikab, M. I. Graevc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c Scientific Research Institute for System Studies of RAS, Moscow, Russia

Abstract: We construct a special injective nonunitary bounded irreducible representation for the Iwasawa subgroup of the semisimple Lie group $U(p,p)$ with $p>1$.

Key words and phrases: Iwasawa subgroup, cocycle, special representation.

UDC: 517.986

Received: 14.09.2015


 English version:
Journal of Mathematical Sciences (New York), 2016, 215:6, 700–705

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© Steklov Math. Inst. of RAS, 2024