Let G be the Chevalley-Demazure group scheme determined by a finite-dimensional complex simple Lie algebra L and its adjoint representation, R a commutative ring with identity and R~* the multiplicative group consisti...Let G be the Chevalley-Demazure group scheme determined by a finite-dimensional complex simple Lie algebra L and its adjoint representation, R a commutative ring with identity and R~* the multiplicative group consisting of all units in R. Denote by G(R) the Chevalley group over R with respect to G. Let △ be a root system of L, △^+ the set of all positive roots with respect to some simple root system of △. Let E(R) be the el-展开更多
文摘Let G be the Chevalley-Demazure group scheme determined by a finite-dimensional complex simple Lie algebra L and its adjoint representation, R a commutative ring with identity and R~* the multiplicative group consisting of all units in R. Denote by G(R) the Chevalley group over R with respect to G. Let △ be a root system of L, △^+ the set of all positive roots with respect to some simple root system of △. Let E(R) be the el-
