Stability in Modules for Classical Lie Algebras: A Constructive Approach

Released on by Georgia Benkart
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  • Stability in Modules for Classical Lie Algebras: A Constructive Approach Book Detail

  • Author : Georgia Benkart
  • Release Date : 1990
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 177
  • ISBN 13 : 0821824929
  • File Size : 8,8 MB
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Stability in Modules for Classical Lie Algebras: A Constructive Approach by Georgia Benkart PDF Summary

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.

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