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

2015/12/11 by A. M. Vershik, Vershik, Anatoly, М. И. Граев +1
Mathematics · #22E25 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1512.03741

openalex publication_date 2015/12/11 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We consider special nonuntary represenation of the Iwasawa subgrouh with a\nnontrivial cohomology. For p>2 presunabley there are unitary representations\nwith this property.\n

Related

• Cohomology in nonunitary representations of semisimple Lie groups (the group U(2,2))
• Nonunitary representations of the groups of U(p,q)-currents for q≥ p>1
• On certain Iwahori representations of unramified U(2, 1) in characteristic p
• Iwasawa Theory for Locally Profinite Groups
• Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group SO₀(2,m)