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

Combinatorial invariant theory of projective reflection groups

Fabrizio Caselli (1)
(1) Dipartimento di Matematica [Bologna]
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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.2748
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https://about.hal.science/hal-authorisation-v1
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Combinatorial invariant theory of projective reflection groups

Fabrizio Caselli (1)
(1) Dipartimento di Matematica [Bologna]
Abstract
English
We introduce the class of projective reflection groups which includes all complex reflection groups. We show that several aspects involving the combinatorics and the representation theory of complex reflection groups find a natural description in this wider setting.
French
On introduit la classe des groupes de réflexions projectifs, ce qui généralise la notion de groupe engendré par des réflexions. On montre que plusieurs aspects concernant la combinatoire et la théorie des représentations des groupes de réflexions complexes trouvent une description naturelle dans ce cadre plus général.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Reflection groups
  • descent statistics
  • invariant algebras
  • Young tableaux
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