Abstract

This paper amends the approach used in an earlier paper to construct, from ideals in the Chevalley algebra LR over a commutative ring R with identity, normal subgroups of the elementary subgroup GR of Steinberg's twisted group corresponding to L, a finite dimensional simple Lie algebra over the complex field. The set of normal subgroups so constructed turns out to be in one-to-one correspondence with the set of equivalence classes of ideals of R under an equivalence relation defined in terms of the underlying automorphism of R of order 2.

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