Some homological properties of GL (m/n) in arbitrary characteristic

Alexandr N. Zubkov

doi:10.1142/S021949881650119X

Some homological properties of GL (m/n) in arbitrary characteristic

Alexandr N. Zubkov

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

10 Citations (Scopus)

Abstract

We generalize the Borel-Bott-Weil theorem for general linear supergroup over a field of odd characteristic. We also prove a partial generalization of Kempf's vanishing theorem and calculate Euler characteristics of all Borel supersubgroups in GL(m/n).

Original language	English
Article number	1650119
Journal	Journal of Algebra and its Applications
Volume	15
Issue number	7
DOIs	https://doi.org/10.1142/S021949881650119X
Publication status	Published - Sept 1 2016
Externally published	Yes

Keywords

Borel-Bott-Weil theorem
General linear supergroup
Kempf's vanishing theorem

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S021949881650119X

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title = "Some homological properties of GL (m/n) in arbitrary characteristic",

abstract = "We generalize the Borel-Bott-Weil theorem for general linear supergroup over a field of odd characteristic. We also prove a partial generalization of Kempf's vanishing theorem and calculate Euler characteristics of all Borel supersubgroups in GL(m/n).",

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AB - We generalize the Borel-Bott-Weil theorem for general linear supergroup over a field of odd characteristic. We also prove a partial generalization of Kempf's vanishing theorem and calculate Euler characteristics of all Borel supersubgroups in GL(m/n).

KW - Borel-Bott-Weil theorem

KW - General linear supergroup

KW - Kempf's vanishing theorem

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UR - https://www.scopus.com/pages/publications/84979777198#tab=citedBy

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DO - 10.1142/S021949881650119X

M3 - Article

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JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

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ER -

Some homological properties of GL (m/n) in arbitrary characteristic

Abstract

Keywords

ASJC Scopus subject areas

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