Cohomology in nonunitary representations of semisimple Lie groups (the group U(2,2))

2014/04/18 by A. M. Vershik, Vershik, A. M., M. I. Graev +1
Mathematics · #22E41 #22E45 #22E66 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1404.4726

openalex publication_date 2014/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We suggest a method of constructing special nonunitary representations of semisimple Lie groups using representations of Iwasawa subgroups. As a typical example, we study the group U(2,2).

Related

• Cohomology of Iwasawa subgroup of the group U(p,p) in nonunitary\n representations
• Nonunitary representations of the groups of U(p,q)-currents for q≥ p>1
• Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group SO₀(2,m)
• Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
• Representations of Lie groups