On irreducible algebras of conformal endomorphisms over a linear algebraic group

Details On irreducible algebras of conformal endomorphisms over a linear algebraic group On irreducible algebras of conformal endomorphisms over a linear algebraic group

2007-12-26

arxiv.org/abs/0712.4127v2

Journal of Mathematical Sciences 161 (2009) no. 1, 41--56

Mathematics

Rings and Algebras

Scientific paper

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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