DOAJ Open Access 2021

Cohomology of simple modules for sl3(k) in characteristic 3

A.A. Ibrayeva Sh.Sh. Ibraev G.K. Yeshmurat

Abstrak

In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic group SL 3( k ) . In the case of characteristic p = 3 , there are only two peculiar simple modules: a simple that module isomorphic to the quotient module of the adjoint module by the center, and a one-dimensional trivial module. The results on the cohomology of simple nontrivial module are used for calculating the cohomology of the adjoint module. We also calculate cohomology of the simple quotient algebra Lie of A 2 by the center.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

A.A. Ibrayeva

Sh.Sh. Ibraev

G.K. Yeshmurat

Format Sitasi

APA MLA BibTeX

Ibrayeva, A., Ibraev, S., Yeshmurat, G. (2021). Cohomology of simple modules for sl3(k) in characteristic 3. https://doi.org/10.31489/2021m3/36-43

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m3/36-43
Akses: Open Access ✓