WHEN IS THE MULTIPLICITY OF A WEIGHT EQUAL TO i ?

@inproceedings{Berenshtein2004WHENIT,
  title={WHEN IS THE MULTIPLICITY OF A WEIGHT EQUAL TO i ?},
  author={A. D. Berenshtein and A. V. Zelevinskii},
  year={2004}
}
  • A. D. Berenshtein, A. V. Zelevinskii
  • Published 2004
Let g be a complex semisimple Lie algebra. This paper is devoted to a solution of the following problem: to find all weights entering into a given irreducible g-module with multiplicity one. Moreover, let K~, B denote the multiplicity of a weight ~ in a finite-dimensional irreducible S-module VI with highest weight I (this and other concepts used in this paper will be explained in greater detail in Sec. 2). As is well known, the multiplicity K%~a is not affected by the action on ~ of elements… CONTINUE READING

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Tensor product multiplicities and convex polytopes in partition space

  • A. O. Berenstein, A. V. Zelevinsky
  • J . Geom . Phys .
  • 1979

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