Abstract Young representations for Coxeter groups of type D

Yona Cherniavsky

Research output: Contribution to journalArticlepeer-review


Abstract Young (briefly: AY) representations are Coxeter group representations which carry an extended Young form. These representations appear in a new axiomatic approach to the representation theory of Coxeter groups. While AY representations for Coxeter groups of types A and B are well understood, little is known about type D. We introduce D-Young tableaux and study minimal AY representations associated with them. The main result is a decomposition rule for the AY representations which are induced from Sn into Dn. The proof of this rule involves a combinatorial bijection together with theorems from complex analysis.

Original languageEnglish
Pages (from-to)561-583
Number of pages23
JournalAdvances in Applied Mathematics
Issue number4
StatePublished - Oct 2008
Externally publishedYes


  • Abstract Young representations
  • Type-D Coxeter group
  • Young orthogonal form


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