Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie

Caroline Gruson

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 2, page 531-553
  • ISSN: 0373-0956

Abstract

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In this paper, we give an hypothesis to make sure that the homology of a Lie superalgebra operating on a finite dimensional super vector space is finite.

How to cite

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Gruson, Caroline. "Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie." Annales de l'institut Fourier 47.2 (1997): 531-553. <http://eudml.org/doc/75236>.

@article{Gruson1997,
abstract = {Le but de cet article est de formuler une hypothèse permettant d’affirmer que l’homologie d’une super algèbre de Lie à valeurs dans un module de dimension finie est de dimension finie},
author = {Gruson, Caroline},
journal = {Annales de l'institut Fourier},
keywords = {Lie superalgebras; Koszul complex; stability in the sense of Mumford},
language = {fre},
number = {2},
pages = {531-553},
publisher = {Association des Annales de l'Institut Fourier},
title = {Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie},
url = {http://eudml.org/doc/75236},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Gruson, Caroline
TI - Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 2
SP - 531
EP - 553
AB - Le but de cet article est de formuler une hypothèse permettant d’affirmer que l’homologie d’une super algèbre de Lie à valeurs dans un module de dimension finie est de dimension finie
LA - fre
KW - Lie superalgebras; Koszul complex; stability in the sense of Mumford
UR - http://eudml.org/doc/75236
ER -

References

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  12. [Se] V. SERGANOVA, Automorphisms of simple Lie superalgebras, Math. URSS Izvestiya, vol. 24, n. 3 (1985), 539-551. Zbl0565.17001
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