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  1. Home > Articles & Issues >
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  3. Combinatorial Gelfan ...
Conference paper

Combinatorial Gelfand Models

Ron M. Adin ORCID (1), Alex Postnikov (2), Yuval Roichman (1)
(1) Department of Mathematics [Bar-Ilan]
(2) Department of Applied Mathematics
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Imported on
May 10, 2017
Published on
December 31, 2007
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
Proceedings
DOI
10.46298/dmtcs.3612
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https://about.hal.science/hal-authorisation-v1
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Combinatorial Gelfand Models

Ron M. Adin ORCID (1), Alex Postnikov (2), Yuval Roichman (1)
(1) Department of Mathematics [Bar-Ilan]
(2) Department of Applied Mathematics
Abstract
A combinatorial construction of Gelfand models for the symmetric group, for its Iwahori-Hecke algebra and for the hyperoctahedral group is presented.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • symmetric group
  • hyperoctahedral group
  • Iwahori-Hecke algebra
  • descents
  • inversions
  • character formulas
  • Gelfand model
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