Generalized restricted representations of contragredient Lie algebras


Ibraev S.S.
2026Taylor and Francis Ltd.

Communications in Algebra
2026#54Issue 145 - 64 pp.

In this paper, for finite-dimensional contragredient Lie algebras over an algebraically closed field F of characteristic (Formula presented.) the structures of generalized restricted Lie algebras and their generalized restricted representations are introduced. For simple contragredient Lie algebras with non-degenerate symmetric invariant bilinear forms, we determine their irreducible generalized restricted modules.

Contragredient Lie algebra , generalized restricted representation , irreducible module , simple modular Lie algebra

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Department of Physics and Mathematics, Korkyt Ata Kyzylorda University, Kyzylorda, Kazakhstan

Department of Physics and Mathematics

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026