This article is cited in 6 papers

Research papers

The second cohomology groups of simple modules for $G_2$

S. S. Ibraev

University "Bolashak", pr. Abaya, 31A, 120000, Kyzylorda, Kazakhstan

Abstract: The second cohomology groups for simple, simply connected algebraic group $G_2$ over an algebraically closed field of characteristic $p\ge7$ with coefficients in the simple finite-dimensional modules are described.

Keywords: algebraic group, cohomology, simple module, Frobenius kernel.

UDC: 512.665.2

MSC: 20G05, 20G10, 20G40

Received January 30, 2011, published December 29, 2011

Language: English