Conformal Algebras in the Context of Linear Algebraic Groups

Pavel Kolesnikov ()
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Pavel Kolesnikov: Sobolev Institute of Mathematics

Chapter 20 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 235-246 from Springer

Abstract: We consider a category of algebras related to a pair (G,V), where G is a linear algebraic group that acts on an affine algebraic variety V. As a particular case, we obtain the category of pseudo-algebras over a commutative affine Hopf algebra. We apply the introduced language to describe irreducible subalgebras of the conformal endomorphism algebra over a linear algebraic group.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85332-9_20

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DOI: 10.1007/978-3-540-85332-9_20

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