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  1. Home > Articles & Issues >
  2. Articles >
  3. The Ladder Crystal
Conference paper

The Ladder Crystal

Chris Berg (1)
(1) University of 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.2717
License
https://about.hal.science/hal-authorisation-v1
National Science Foundation
0135345
Vertical Integration of Research and Education in the Mathematical Sciences - VIGRE: Research Focus Groups in Mathematics
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571
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623
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The Ladder Crystal

Chris Berg (1)
(1) University of California [Davis]
Abstract
English
In this paper, we introduce a new model of the crystal $B(\Lambda _0)$ of $\widehat{\mathfrak{sl}_{\ell}}$. We briefly describe some of the properties of this crystal and compare it to the combinatorial model of Misra and Miwa.
French
Dans cet article on propose un nouveau modèle du cristal $B(\Lambda _0)$ de \$\widehat{\mathfrak{sl}_{\ell}}$. On décrit brièvement les propriétés du cristal et on le compare avec le modèle combinatoire de Misra et Miwa.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • combinatorics of Young diagrams
  • crystals
  • representation theory of Hecke algebras
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