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  1. Home > Articles & Issues >
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  3. Perfectness of Kiril ...
Conference paper

Perfectness of Kirillov―Reshetikhin crystals for nonexceptional types

Ghislain Fourier (1), Masato Okado (2), Anne Schilling (3)
(1) Mathematisches Institut, Universität zu Köln
(2) Department of Mathematical Science
(3) Department of Mathematics [Univ California Davis]
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Imported on
January 31, 2017
Published on
December 31, 2008
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Proceedings
DOI
10.46298/dmtcs.2741
License
https://about.hal.science/hal-authorisation-v1
FRG: Collaborative Research: Affine Schubert Calculus: Combinatorial, geometric, physical, and computational aspects
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Perfectness of Kirillov―Reshetikhin crystals for nonexceptional types

Ghislain Fourier (1), Masato Okado (2), Anne Schilling (3)
(1) Mathematisches Institut, Universität zu Köln
(2) Department of Mathematical Science
(3) Department of Mathematics [Univ California Davis]
Abstract
English
For nonexceptional types, we prove a conjecture of Hatayama et al. about the prefectness of Kirillov―Reshetikhin crystals.
French
Pour les types non-exceptionnels, on démontre une conjecture de Hatayama et al. concernant la perfection des cristaux de Kirillov―Reshetikhin.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Crystal bases
  • combinatorial models for Kirillov―Reshetikhin crystals
  • perfectness
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