Stability In Modules For Classical Lie Algebras A Constructive Approach
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Stability in Modules for Classical Lie Algebras: A Constructive Approach
Author: Georgia Benkart
language: en
Publisher: American Mathematical Soc.
Release Date: 1990
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.
Yangians and Classical Lie Algebras
Author: Alexander Molev
language: en
Publisher: American Mathematical Soc.
Release Date: 2007
The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St. Petersburg's school of mathematical physics in the 1980s. This book is an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie algebras.
Projective Modules over Lie Algebras of Cartan Type
Author: Daniel Ken Nakano
language: en
Publisher: American Mathematical Soc.
Release Date: 1992
This paper investigates the question of linkage and block theory for Lie algebras of Cartan type. The second part of the paper deals mainly with block structure and projective modules of Lies algebras of types W and K.