Ghislain Fourier ; Masato Okado ; Anne Schilling - Perfectness of Kirillov―Reshetikhin crystals for nonexceptional types

dmtcs:2741 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) - https://doi.org/10.46298/dmtcs.2741
Perfectness of Kirillov―Reshetikhin crystals for nonexceptional typesArticle

Authors: 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]

For nonexceptional types, we prove a conjecture of Hatayama et al. about the prefectness of Kirillov―Reshetikhin crystals.

https://doi.org/10.46298/dmtcs.2741
Source: HAL:hal-01185434v1
Volume: DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Section: Proceedings
Published on: January 1, 2009
Imported on: January 31, 2017
Keywords: perfectness,Crystal bases,combinatorial models for Kirillov―Reshetikhin crystals,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Combinatorial Aspects of Representation Theory, Mathematical Physics and q-Series; Funder: National Science Foundation; Code: 0501101
  • FRG: Collaborative Research: Affine Schubert Calculus: Combinatorial, geometric, physical, and computational aspects; Funder: National Science Foundation; Code: 0652652
  • FRG: Collaborative Research: Affine Schubert Calculus: Combinatorial, geometric, physical, and computational aspects; Funder: National Science Foundation; Code: 0652641

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