• Title/Summary/Keyword: Stable Embeddability

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The Stable Embeddability on Modules over Complex Simple Lie Algebras

  • Kim, Dong-Seok
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.827-832
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    • 2007
  • Several partial orders on integral partitions have been studied with many applications such as majorizations, capacities of quantum memory and embeddabilities of matrix algebras. In particular, the embeddability, stable embeddability and strong-stable embeddability problems arise for finite dimensional irreducible modules over a complex simple Lie algebra L. We find a sufficient condition for an L-module strong-stably embeds into another L-module using formal character theory.

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