14 citations · 20 across the 6 of their papers we have counts for
6 papers
Regular subalgebras of affine Kac-Moody algebras
Anna Felikson, Alexander Retakh, Pavel Tumarkin
We classify regular subalgebras of affine Kac-Moody algebras in terms of their root systems. In the process, we establish that a root system of a subalgebra is always an intersecti…
Simple Jordan conformal superalgebras
Victor G. Kac, Alexander Retakh
We classify simple finite Jordan conformal superalgebras and establish preliminary results for the classification of simple finite Jordan pseudoalgebras.
Structure theory of finite Lie conformal superalgebras
Davide Fattori, Victor G. Kac, Alexander Retakh
We develop structure theory of finite Lie conformal superalgebras.
On associative conformal algebras of linear growth II
Alexander Retakh
We classify unital associative conformal algebras of linear growth and provide new examples of such.
Unital associative pseudoalgebras and their representations
Alexander Retakh
Pseudoalgebras, introduced in [BDK], are multi-dimensional analogues of conformal algebras, which provide an axiomatic description of the singular part of the operator product expa…
On Associative Conformal Algebras of Linear Growth
Alexander Retakh
Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal alg…