Elementary Representations of the Group Bℤ0 of Upper-Triangular Matrices Infinite in Both Directions. I
Abstract
We define so-called “elementary representations” TR,µp,p∈ℤ, of the group Bℤ0 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
How to Cite
Kosyak, O. V. “Elementary Representations of the Group Bℤ0 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.
Issue
Section
Research articles