Spherical conjugacy classes and the Bruhat decomposition

Giovanna Carnovale[1]

  • [1] University of Padova Dipartimento di Matematica Pura ed Applicata via Trieste 63 Padova, 35121 (Italy)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 6, page 2329-2357
  • ISSN: 0373-0956

Abstract

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Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G as those intersecting only Bruhat cells in G corresponding to involutions in the Weyl group of  G .

How to cite

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Carnovale, Giovanna. "Spherical conjugacy classes and the Bruhat decomposition." Annales de l’institut Fourier 59.6 (2009): 2329-2357. <http://eudml.org/doc/10456>.

@article{Carnovale2009,
abstract = {Let $G$ be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in $G$ as those intersecting only Bruhat cells in $G$ corresponding to involutions in the Weyl group of $G$.},
affiliation = {University of Padova Dipartimento di Matematica Pura ed Applicata via Trieste 63 Padova, 35121 (Italy)},
author = {Carnovale, Giovanna},
journal = {Annales de l’institut Fourier},
keywords = {Conjugacy class; spherical homogeneous space; Bruhat decomposition; connected reductive algebraic groups; spherical conjugacy classes; spherical homogeneous spaces; Bruhat decompositions},
language = {eng},
number = {6},
pages = {2329-2357},
publisher = {Association des Annales de l’institut Fourier},
title = {Spherical conjugacy classes and the Bruhat decomposition},
url = {http://eudml.org/doc/10456},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Carnovale, Giovanna
TI - Spherical conjugacy classes and the Bruhat decomposition
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 6
SP - 2329
EP - 2357
AB - Let $G$ be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in $G$ as those intersecting only Bruhat cells in $G$ corresponding to involutions in the Weyl group of $G$.
LA - eng
KW - Conjugacy class; spherical homogeneous space; Bruhat decomposition; connected reductive algebraic groups; spherical conjugacy classes; spherical homogeneous spaces; Bruhat decompositions
UR - http://eudml.org/doc/10456
ER -

References

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