Stability in Modules for Classical Lie Algebras: A Constructive Approach

Download or read book Stability in Modules for Classical Lie Algebras: A Constructive Approach written by Georgia Benkart and published by American Mathematical Soc.. This book was released on 1990 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.