Article thumbnail

Paths and Tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type Dn

By Wakako Nakai and Tomoki Nakanishi

Abstract

Abstract. We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type Cn. Like the Dn case studied by the authors recently, applying the Gessel-Viennot path method with an additional involution and a deformation of paths, we obtain a positive sum expression over a set of tuples of paths, which is naturally translated into the one over a set of tableaux on a skew diagram. 1

Year: 2012
OAI identifier: oai:CiteSeerX.psu:10.1.1.237.3339
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/math/0604... (external link)

  • To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

    Suggested articles