Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G. Then we prove that, if the derived group is simply connected and \g satisfies a mild condition, the algebra K[G]^g of regular functions on G that are invariant under the action of g derived from the conjugation action, is a unique factorisation domain

Tange, Rudolf

arXiv.org e-Print Archive

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English

A basis for the Birman-Wenzl Algebra, preprint,

A characteristic free approach to invariant theory,

Brauer algbras, symplectic Schur algebras and Schur-Weyl duality, to appear in Trans.

Centralizer coalgebras, FRT-construction, and symplectic monoids,

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On algebras which are connected with the semisimple continuous groups,

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Representations of algebraic groups,

Representations of symplectic groups and the symplectic tableaux of R.

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The symplectic ideal and a double centraliser theorem