Insertion scheme for the classical Lie algebras

Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper, we give an insertion scheme for the tableaux of Kashiwara-Nakashima realizing the crystal bases of the irreducible highest weight modules over the classical Lie algebras. It gives an explicit combinatorial description of the decomposition of the tensor product V(λ) ⊗ V(μ) into irreducible modules.

Original languageEnglish
Pages (from-to)3139-3167
Number of pages29
JournalCommunications in Algebra
Issue number8
StatePublished - 2004


  • Classical Lie algebra
  • Crystal base
  • Insertion scheme


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