Selecta Mathematica

, Volume 3, Issue 4, pp 547–599

Kostka polynomials and energy functions in solvable lattice models

  • A. Nakayashiki
  • Y. Yamada

DOI: 10.1007/s000290050020

Cite this article as:
Nakayashiki, A. & Yamada, Y. Sel. math., New ser. (1997) 3: 547. doi:10.1007/s000290050020

Abstract.

The relation between the charge of Lascoux-Schützenberger and the energy function in solvable lattice models is clarified. As an application, A.N. Kirillov's conjecture on the expression of the branching coefficient of \({\widehat{{\frak {sl}}_n}}/{\frak {sl}}_n\) of Kostka polynomials is proved.

Key words. Crystal, index, charge, energy function, Kostka polynomial. 

Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • A. Nakayashiki
    • 1
  • Y. Yamada
    • 2
  1. 1.Graduate School of Mathematics, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810, Japan, e-mail: atsushi@rc.kyushu-u.ac.jpJP
  2. 2.Department of Mathematics, Faculty of Science, Kobe University, Kobe, Japan, e-mail: yamaday@math.s.kobe-u.ac.jpJP

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