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  1. Home > Articles & Issues >
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  3. Denominator formulas ...
Conference paper

Denominator formulas for Lie superalgebras (extended abstract)

Victor Kac (1), Pierluigi Möseneder Frajria (2), Paolo Papi (3) (4)
(1) Department of Mathematics [MIT]
(2) Politecnico di Milano [Milan]
(3) Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
(4) Dipartimento di Matematica = Istituto Matematico "Guido Castelnuovo" [La Sapienza, Rome]
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Imported on
January 31, 2017
Published on
December 31, 2009
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
Proceedings
DOI
10.46298/dmtcs.2810
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https://about.hal.science/hal-authorisation-v1
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Denominator formulas for Lie superalgebras (extended abstract)

Victor Kac (1), Pierluigi Möseneder Frajria (2), Paolo Papi (3) (4)
(1) Department of Mathematics [MIT]
(2) Politecnico di Milano [Milan]
(3) Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
(4) Dipartimento di Matematica = Istituto Matematico "Guido Castelnuovo" [La Sapienza, Rome]
Abstract
English
We provide formulas for the Weyl-Kac denominator and superdenominator of a basic classical Lie superalgebra for a distinguished set of positive roots. \par
French
Nous donnons les formules pour les dénominateurs et super-dénominateurs de Weyl-Kac d'une super-algèbre de Lie basique classique pour un ensemble distingué de racines positives.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Lie superalgebra
  • denominator identity
  • dual pair
Cited by

Source: OpenCitations

  • Trivial module for ortho-symplectic Lie superalgebras and Littlewood’s formula

    Science China Mathematics

    Authors : BinTao Cao ORCID, Li Luo ORCID

    Journal reference : Volume 56, 2012, pp. 2251-2260

    DOI : 10.1007/s11425-012-4535-3

  • Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs

    Japanese journal of mathematics

    Authors : Maria Gorelik ORCID, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi ORCID

    Journal reference : Volume 7, 2012, pp. 41-134

    DOI : 10.1007/s11537-012-1104-z
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