Generalized restricted representations of contragredient Lie algebras

2025

Closed access Metadata (CSL-JSON)
DOI 10.1080/00927872.2025.2516112
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

In this paper, for finite-dimensional contragredient Lie algebras over an algebraically closed field F of characteristic p>0, 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.