Monomial Realization of the Tensor Product of Crystals for Quantum Finite Algebras

Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we give a combinatorial description of the crystal bases of the tensor products of the irreducible highest weight modules over quantum finite algebras in terms of Nakajima monomials. Also, we explain how to decompose the tensor product of irreducible highest weight crystals into irreducibles by giving a bijection defined by multiplication of monomials.

Original languageEnglish
Pages (from-to)3120-3136
Number of pages17
JournalCommunications in Algebra
Volume42
Issue number7
DOIs
StatePublished - Jul 2014

Keywords

  • Crystals
  • Nakajima monomials
  • Tensor product decompositions

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