Blocks for periplectic supergroups in positive characteristic

F. Marko; A. N. Zubkov

doi:10.1016/j.jalgebra.2025.02.018

Blocks for periplectic supergroups in positive characteristic

F. Marko
, A. N. Zubkov

Penn State Hazleton

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

Abstract

We consider the periplectic supergroup P(n) over a ground field k of characteristic p>2. We show that there are four blocks of P(n) of simple supermodules L^ϵ(λ) corresponding to dominant weights λ of even and odd lengths, and the even and odd parity ϵ of their highest weight vector.

Original language	English (US)
Pages (from-to)	222-259
Number of pages	38
Journal	Journal of Algebra
Volume	673
DOIs	https://doi.org/10.1016/j.jalgebra.2025.02.018
State	Published - Jul 1 2025

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2025.02.018

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title = "Blocks for periplectic supergroups in positive characteristic",

abstract = "We consider the periplectic supergroup P(n) over a ground field k of characteristic p>2. We show that there are four blocks of P(n) of simple supermodules Lϵ(λ) corresponding to dominant weights λ of even and odd lengths, and the even and odd parity ϵ of their highest weight vector.",

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T1 - Blocks for periplectic supergroups in positive characteristic

AU - Marko, F.

AU - Zubkov, A. N.

PY - 2025/7/1

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N2 - We consider the periplectic supergroup P(n) over a ground field k of characteristic p>2. We show that there are four blocks of P(n) of simple supermodules Lϵ(λ) corresponding to dominant weights λ of even and odd lengths, and the even and odd parity ϵ of their highest weight vector.

AB - We consider the periplectic supergroup P(n) over a ground field k of characteristic p>2. We show that there are four blocks of P(n) of simple supermodules Lϵ(λ) corresponding to dominant weights λ of even and odd lengths, and the even and odd parity ϵ of their highest weight vector.

UR - https://www.scopus.com/pages/publications/86000589437

UR - https://www.scopus.com/pages/publications/86000589437#tab=citedBy

U2 - 10.1016/j.jalgebra.2025.02.018

DO - 10.1016/j.jalgebra.2025.02.018

M3 - Article

AN - SCOPUS:86000589437

SN - 0021-8693

VL - 673

SP - 222

EP - 259

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Blocks for periplectic supergroups in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

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