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Infinite dimensional primitive linearly compact Lie superalgebras
Nicoletta Cantarini, Victor Kac
We classify open maximal subalgebras of all infinite-dimensional linearly compact simple Lie superalgebras. This is applied to the classification of infinite-dimensional Lie supera…
Finite vs. affine W-algebras
Alberto De Sole, Victor Kac
In Section 1 we review various equivalent definitions of a vertex algebra V. The main novelty here is the definition in terms of an indefinite integral of the lambda-bracket. In Se…
Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras
Paola Cellini, Victor G. Kac, Pierluigi Moseneder Frajria +1
We give uniform formulas for the branching rules of level 1 modules over orthogonal affine Lie algebras for all conformal pairs associated to symmetric spaces. We also provide a co…