209 citations · 1.4k across the 70 of their papers we have counts for
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Remarks on Finite W Algebras
F. Barbarin, E. Ragoucy, P. Sorba
The property of some finite W algebras to be the commutant of a particular subalgebra of a simple Lie algebra G is used to construct realizations of G. When G=so(4,2), unitary repr…
Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
L. Frappat, A. Sciarrino, S. Sciuto +1
We give a realization of the quantum affine Lie superalgebras U_q(A(M,N))^(1) in terms of anyons defined on a one or two-dimensional lattice, the deformation parameter q being rela…
Anyonic Realization of the Quantum Affine Lie Algebras
L. Frappat, A. Sciarrino, S. Sciuto +1
We give a realization of the quantum affine Lie algebras $\uqa$ and $\uqc$ in terms of anyons defined on a one-dimensional chain (or on a two-dimensional lattice), the deformation…
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…
W-realization of Lie algebras: application to so(4,2) and Poincare algebras
F. Barbarin, E. Ragoucy, P. Sorba
The property of some finite W-algebras to appear as the commutant of a particular subalgebra in a simple Lie algebra G is exploited for the obtention of new G-realizations from a "…