Linkage principle for ortho-symplectic supergroups

František Marko; Alexandr N. Zubkov

doi:10.1016/j.jalgebra.2017.09.010

Linkage principle for ortho-symplectic supergroups

František Marko, Alexandr N. Zubkov

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

1 Citation (Scopus)

Abstract

The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening G_rT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).

Original language	English
Pages (from-to)	444-482
Number of pages	39
Journal	Journal of Algebra
Volume	493
DOIs	https://doi.org/10.1016/j.jalgebra.2017.09.010
Publication status	Published - Jan 1 2018
Externally published	Yes

Keywords

Blocks
Linkage principle
Ortho-symplectic
Supergroup

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2017.09.010

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title = "Linkage principle for ortho-symplectic supergroups",

abstract = "The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening GrT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).",

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AU - Marko, František

AU - Zubkov, Alexandr N.

PY - 2018/1/1

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N2 - The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening GrT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).

AB - The purpose of the paper is to derive linkage principle for modular representations of ortho-symplectic supergroups. We follow the approach of Doty and investigate in detail the representation theory of the ortho-symplectic group SpO(2|1) and that of its Frobenius thickening. Using the description of flags and adjacent Borel supersubgroups we derive first the strong linkage for the Frobenius thickening GrT of the ortho-symplectic supergroup G of type SpO(2m|2n+1) and SpO(2m|2n). Based on this, we derive the linkage principle for ortho-symplectic supergroups SpO(2m|2n+1) and SpO(2m|2n).

KW - Blocks

KW - Linkage principle

KW - Ortho-symplectic

KW - Supergroup

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VL - 493

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Linkage principle for ortho-symplectic supergroups

Abstract

Keywords

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