On the second cohomology groups of exceptional Lie algebras in positive characteristic

S. S. Ibraev

Bolashak University, Kyzylorda, Kazakhstan

Abstract: The second cohomology groups of exceptional Lie algebras $E_n$ ($n=6,7,8$), $F_4$, $G_2$ over an algebraically closed field of characteristic $p\ge h+5$ with coefficients in modules, dual to Weyl modules, are explicitly described. Here $h$ is the Coxeter number.

Keywords and phrases: exceptional Lie algebra, Weyl module, algebraic group.

MSC: 17B50, 17B56

Received: 12.09.2010

Language: English

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