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Notes on the Duflo-Serganova Functor in Positive Characteristic Научная публикация

Журнал

Transformation Groups
ISSN: 1083-4362 , E-ISSN: 1531-586X

Вых. Данные

Год: 2026, DOI: 10.1007/s00031-026-09944-4

Авторы

Zubkov Alexandr ¹

Организации

1	Sobolev Institute of Mathematics, Omsk Branch, Pevtzova 13, 644043, Omsk, Russian Federation

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

FWNF-2022-0003

We develop a fragment of the theory of Duflo-Serganova functor over a field of odd characteristic. We elaborate a method of computing the symmetry supergroup G x of this functor, recently introduced by A.Sherman, for a wide class of supergroups G, and apply it to the case when G is GL(m|n) or Q(n), and a square zero odd element x ∈ Lie(G) has minimal or maximal rank. For any quasi-reductive supergroup G, which has a pair of specific parabolic supersubgroups, we prove a criterion of injectivity of a G-supermodule, involving vanishing of Duflo-Serganova functor on it.

Zubkov A.
Notes on the Duflo-Serganova Functor in Positive Characteristic
Transformation Groups. 2026. DOI: 10.1007/s00031-026-09944-4 WOS Scopus OpenAlex

Поступила в редакцию:	8 мая 2025 г.
Принята к публикации:	2 янв. 2026 г.
Опубликована online:	24 янв. 2026 г.

Web of science:	WOS:001669707200001
Scopus:	2-s2.0-105028611611
OpenAlex:	W7125612996

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