Author: Georgia Benkart
Publisher: American Mathematical Soc.
ISBN: 0821824929
Category : Mathematics
Languages : en
Pages : 177
Book Description
In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank. In addition, we give effective, easily computable algorithms for determining the set of dominant weights and illustrate how to calculate their multiplicity polynomials.