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Letters in Mathematical Physics

, Volume 64, Issue 1, pp 23–30 | Cite as

Gelfand–Tsetlin Pattern and Strict Partitions

  • Shun-Jen Cheng
Article
  • 96 Downloads

Abstract

We give a representation-theoretical interpretation of the Gelfand–Tsetlin pattern for strict partitions. Using the Howe duality involving a pair of the queer Lie superalgebras and an analogue of the Littlewood–Richardson rule for Schur Q-functions, we show that such patterns give the branching rule for the irreducible tensor representations of the queer Lie superalgebra.

Gelfand–Tsetlin pattern Lie superalgebra q(n

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Shun-Jen Cheng
    • 1
  1. 1.Department of MathematicsNational Taiwan UniversityTaipeiTaiwan R.O.C.

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