COHOMOLOGY FOR THE LIE ALGEBRA OF TYPE A2 OVER A FIELD OF CHARACTERISTIC 2
Ibraev S.S. Turbayev B.E.
2021Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2021#18Issue 2129 - 139 pp.
We calculate the cohomology of the classical Lie algebra of type A2 over an algebraically closed field k of characteristic p =2 with coefficients in simple modules. The obtained results were used to describe the cohomology of the Lie algebra gl3(k) and the cohomology of the restricted Lie algebra of Cartan type W3(1) with coefficients in the divided power algebra O3(1).
cohomology , Lie algebra , simple module
Text of the article Перейти на текст статьи
Korkyt Ata Kyzylorda University, 29A, Aiteke bie str., Kzylorda, 120014, Kazakhstan
Korkyt Ata Kyzylorda University, 29A, Aiteke bie str,, Kzylorda, 120014, Kazakhstan
Korkyt Ata Kyzylorda University
Korkyt Ata Kyzylorda University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026