A. M. Vershik, M. I. Graev, “Cohomology in Nonunitary Representations of Semisimple Lie Groups (the Group <nobr>$U(2,2)$</nobr>)”, Funktsional. Anal. i Prilozhen., 2014, Volume 48, Issue 3,Pages <nobr>1

This article is cited in 4 papers

Cohomology in Nonunitary Representations of Semisimple Lie Groups (the Group $U(2,2)$)

A. M. Vershik^ab, M. I. Graev

^a Saint Petersburg State University
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences

Abstract: A method for constructing special nonunitary representations of semisimple Lie groups by using representations of Iwasawa subgroups is suggested. As a typical example, the group $U(2,2)$ is studied.

Keywords: semisimple groups, special representations, Iwasawa subgroup, nonunitary representations.

UDC: 517.5

Received: 22.01.2014

DOI: 10.4213/faa3144