On irreducible algebras of conformal endomorphisms over a linear algebraic group

Pavel Kolesnikov

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arXiv · 0712.4127

On irreducible algebras of conformal endomorphisms over a linear algebraic group

Pavel Kolesnikov

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Abstract

We study the algebra of conformal endomorphisms $\Cend^{G,G}_n$ of a finitely generated free module $M_n$ over the coordinate Hopf algebra $H$ of a linear algebraic group $G$. It is shown that a conformal subalgebra of $\Cend_n$ acting irreducibly on $M_n$ generates an essential left ideal of $\Cend^{G,G}_n$ if enriched with operators of multiplication on elements of $H$. In particular, we describe such subalgebras for the case when $G$ is finite.

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Pavel Kolesnikov. 2008-05-04. On irreducible algebras of conformal endomorphisms over a linear algebraic group. https://arxiv.org/abs/0712.4127

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