On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).
The authors classify all infinite subalgebras of the conformal algebras \(\text{Cend}_{N}\) and \(\text{gc}_{N}\) over the field \(\mathbb C\) (these algebras are direct `conformal' analogues of the matrix algebras \(M_N(\mathbb C)\) and \(\text{gl}_N (\mathbb C)\), respectively). For the definition of conformal algebra, see \textit{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 \(\text{Cend}_{N,P}\). The authors also describe all automorphisms of \(\text{Cend}_{N,P}\) and classify all homomorphisms and anti-homomorphisms of \(\text{Cend}_{N,P}\) to \(\text{Cend}_{N}\) .
scientific article; zbMATH DE number 1901816
scientific article