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Parabolic factorizations of split classical groups. / Vavilov, N. A.; Sinchuk, S. S.

In: St. Petersburg Mathematical Journal, Vol. 23, No. 4, 28.12.2012, p. 637-657.

Research output: Contribution to journal › Article › peer-review

Harvard

Vavilov, NA & Sinchuk, SS 2012, 'Parabolic factorizations of split classical groups', St. Petersburg Mathematical Journal, vol. 23, no. 4, pp. 637-657. https://doi.org/10.1090/S1061-0022-2012-01211-2

APA

Vavilov, N. A., & Sinchuk, S. S. (2012). Parabolic factorizations of split classical groups. St. Petersburg Mathematical Journal, 23(4), 637-657. https://doi.org/10.1090/S1061-0022-2012-01211-2

Vancouver

Vavilov NA, Sinchuk SS. Parabolic factorizations of split classical groups. St. Petersburg Mathematical Journal. 2012 Dec 28;23(4):637-657. https://doi.org/10.1090/S1061-0022-2012-01211-2

Author

Vavilov, N. A. ; Sinchuk, S. S. / Parabolic factorizations of split classical groups. In: St. Petersburg Mathematical Journal. 2012 ; Vol. 23, No. 4. pp. 637-657.

BibTeX

@article{ce21d5a911c84bfa9b2e311b2b752105,
title = "Parabolic factorizations of split classical groups",
abstract = "An analog of the Dennis-Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups Pr and Ps in split classical groups, under appropriate stability conditions. Before, such decompositions were only known for pairs of terminal parabolic subgroups.",
keywords = "Bass-Kolster decomposition, Dennis-Vaserstein decomposition, Elementary subgroup, Gauss decomposition, Parabolic subgroups, Split classical groups, Stability conditions, Stable rank, Unitary stable rank",
author = "Vavilov, {N. A.} and Sinchuk, {S. S.}",
year = "2012",
month = dec,
day = "28",
doi = "10.1090/S1061-0022-2012-01211-2",
language = "English",
volume = "23",
pages = "637--657",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Parabolic factorizations of split classical groups

AU - Vavilov, N. A.

AU - Sinchuk, S. S.

PY - 2012/12/28

Y1 - 2012/12/28

N2 - An analog of the Dennis-Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups Pr and Ps in split classical groups, under appropriate stability conditions. Before, such decompositions were only known for pairs of terminal parabolic subgroups.

AB - An analog of the Dennis-Vaserstein decomposition is proved for an arbitrary pair of maximal parabolic subgroups Pr and Ps in split classical groups, under appropriate stability conditions. Before, such decompositions were only known for pairs of terminal parabolic subgroups.

KW - Bass-Kolster decomposition

KW - Dennis-Vaserstein decomposition

KW - Elementary subgroup

KW - Gauss decomposition

KW - Parabolic subgroups

KW - Split classical groups

KW - Stability conditions

KW - Stable rank

KW - Unitary stable rank

UR - http://www.scopus.com/inward/record.url?scp=84871510152&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-2012-01211-2

DO - 10.1090/S1061-0022-2012-01211-2

M3 - Article

AN - SCOPUS:84871510152

VL - 23

SP - 637

EP - 657

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 36088820