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Finiteness of double coset spaces.

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Finiteness of double coset spaces. / Lawther, R. I.
In: Proceedings of the London Mathematical Society, Vol. 79, No. 3, 11.1999, p. 605-625.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lawther, RI 1999, 'Finiteness of double coset spaces.', Proceedings of the London Mathematical Society, vol. 79, no. 3, pp. 605-625. https://doi.org/10.1112/S0024611599012113

APA

Lawther, R. I. (1999). Finiteness of double coset spaces. Proceedings of the London Mathematical Society, 79(3), 605-625. https://doi.org/10.1112/S0024611599012113

Vancouver

Lawther RI. Finiteness of double coset spaces. Proceedings of the London Mathematical Society. 1999 Nov;79(3):605-625. doi: 10.1112/S0024611599012113

Author

Lawther, R. I. / Finiteness of double coset spaces. In: Proceedings of the London Mathematical Society. 1999 ; Vol. 79, No. 3. pp. 605-625.

Bibtex

@article{a9d11e8e015b44a2baacd5cdaa691792,
title = "Finiteness of double coset spaces.",
abstract = "This paper makes a contribution to the classification of reductive spherical subgroups of simple algebraic groups over algebraically closed fields (a subgroup is called spherical if it has finitely many orbits on the flag variety). The author produces a class of reductive subgroups, and shows that in positive characteristic any such is spherical. The class includes all centralizers of inner involutions if the characteristic is odd, for which the result was already known thanks to work of Springer; however, the sphericality of the corresponding subgroups in even characteristic was in many cases previously undecided. The methods used are character-theoretic in nature, and rely upon bounding inner products of permutation characters. 1991 Mathematics Subject Classification: primary 20G15; secondary 20C15.",
keywords = "algebraic groups • spherical subgroups • permutation characters",
author = "Lawther, {R. I.}",
year = "1999",
month = nov,
doi = "10.1112/S0024611599012113",
language = "English",
volume = "79",
pages = "605--625",
journal = "Proceedings of the London Mathematical Society",
issn = "1460-244X",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Finiteness of double coset spaces.

AU - Lawther, R. I.

PY - 1999/11

Y1 - 1999/11

N2 - This paper makes a contribution to the classification of reductive spherical subgroups of simple algebraic groups over algebraically closed fields (a subgroup is called spherical if it has finitely many orbits on the flag variety). The author produces a class of reductive subgroups, and shows that in positive characteristic any such is spherical. The class includes all centralizers of inner involutions if the characteristic is odd, for which the result was already known thanks to work of Springer; however, the sphericality of the corresponding subgroups in even characteristic was in many cases previously undecided. The methods used are character-theoretic in nature, and rely upon bounding inner products of permutation characters. 1991 Mathematics Subject Classification: primary 20G15; secondary 20C15.

AB - This paper makes a contribution to the classification of reductive spherical subgroups of simple algebraic groups over algebraically closed fields (a subgroup is called spherical if it has finitely many orbits on the flag variety). The author produces a class of reductive subgroups, and shows that in positive characteristic any such is spherical. The class includes all centralizers of inner involutions if the characteristic is odd, for which the result was already known thanks to work of Springer; however, the sphericality of the corresponding subgroups in even characteristic was in many cases previously undecided. The methods used are character-theoretic in nature, and rely upon bounding inner products of permutation characters. 1991 Mathematics Subject Classification: primary 20G15; secondary 20C15.

KW - algebraic groups • spherical subgroups • permutation characters

U2 - 10.1112/S0024611599012113

DO - 10.1112/S0024611599012113

M3 - Journal article

VL - 79

SP - 605

EP - 625

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 1460-244X

IS - 3

ER -