This paper concerns a rather concrete phenomenon in abstract operator algebras. The main examples of the algebras we study are algebras of singular integral operators (pseudo-differential operators… (More)

One of the classic and most pleasing calculations in the representation theory of semisimple Lie groups is Bargmann's [Ba] (see also [Na]) description of the structure of representations of SL(2, K).… (More)

We study branching laws for a classical group G and a symmetric subgroup H . Our approach is through the branching algebra, the algebra of covariants for H in the regular functions on the natural… (More)

IfKis an infinite field and ifG ffi GL(n, K) with the discrete topology, then all principal-series representations of G are irreducible, and any two such with the same central character ~/are weakly… (More)

This paper focuses on the GLn tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary irreducible representations of GLn. We will describe an explicit basis for… (More)

This paper focuses on the GLn tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary irreducible representations of GLn. We will describe an explicit basis for… (More)