Elementary Representations of the Group B0 of Upper-Triangular Matrices Infinite in Both Directions. I

Authors

  • O. V. Kosyak

Abstract

We define so-called “elementary representations” TR,µp,p, of the group B0 of finite upper-triangular matrices infinite in both directions by using quasi-invariant measures on certain homogeneous spaces and give a criterion for the irreducibility and equivalence of the representations constructed. We also give a criterion for the irreducibility of the tensor product of finitely many and infinitely many elementary representations.

Published

25.02.2002

Issue

Section

Research articles

How to Cite

Kosyak, O. V. “Elementary Representations of the Group B0 of Upper-Triangular Matrices Infinite in Both Directions. I”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 2, Feb. 2002, pp. 205-16, https://umj.imath.kiev.ua/index.php/umj/article/view/4056.