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On the classification of subalgebras of Cend N and gc N . (English) Zbl 1034.17018
The authors classify all infinite subalgebras of the conformal algebras Cend N and gc N over the field (these algebras are direct ‘conformal’ analogues of the matrix algebras M N () and gl N (), respectively). For the definition of conformal algebra, see V. G. Kac, Vertex algebras for beginners. 2nd ed. University Lecture Series. 10. Providence, RI: American Mathematical Society (AMS) (1998; Zbl 0924.17023). They describe all finite irreducible modules over Cend N,P . The authors also describe all automorphisms of Cend N,P and classify all homomorphisms and anti-homomorphisms of Cend N,P to Cend N .

MSC:
17B99Lie algebras
81R10Infinite-dimensional groups and algebras motivated by physics
16S99Associative rings and algebras arising under various constructions