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math-ph2012★ 31 cited
Takiff superalgebras and Conformal Field Theory
A. Babichenko, D. Ridout
A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an abelian ideal. When the su…
math-ph2012★ 1 cited
Multi-parametric R-matrix for the sl(2|1) Yangian
Andrei Babichenko, Alessandro Torrielli
We study the Yangian of the sl(2|1) Lie superalgebra in a multi-parametric four-dimensional representation. We use Drinfeld's second realization to independently rederive the R-mat…