209 citations · 367 across the 32 of their papers we have counts for
5 papers · 1 filter
Standard and Non-standard Extensions of Lie algebras
L. A. Forte, A. Sciarrino
We study the problem of quadruple extensions of simple Lie algebras. We find that, adding a new simple root , it is not possible to have an extended Kac-Moody algebra descr…
Dictionary on Lie Superalgebras
L. Frappat, A. Sciarrino, P. Sorba
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal w…
From Vertex Operators to Calogero-Sutherland Models
Vincenzo Marotta, Antonino Sciarrino
The correlation function of the product of N generalized vertex operators satisfies an infinite set of Ward identities, related to a W_{\infty} algebra, whose extention out of the…
Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)
L. Frappat, A. Sciarrino, S. Sciuto +1
We give a realization of quantum affine Lie algebra in terms of anyons defined on a two-dimensional lattice, the deformation parameter being related to the…
Structure of Lorentzian algebras and Conformal Field Theory
V. Marotta, A. Sciarrino
The main properties of indefinite Kac-Moody and Borcherds algebras, considered in a unified way as Lorentzian algebras, are reviewed. The connection with the conformal field theory…