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Restricted simple Lie (super)algebras in characteristic
Sofiane Bouarroudj, Andrey Krutov, Alexei Lebedev +2
We give explicit formulas proving restrictedness of the following Lie (super)algebras: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (sup…
Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras
Sofiane Bouarroudj, Andrey Krutov, Dimitry Leites +1
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Car…
Computing symmetries and recursion operators of evolutionary super-systems using the SsTools environment
Arthemy V. Kiselev, Andrey O. Krutov, Thomas Wolf
At a very informal but practically convenient level, we discuss the step-by-step computation of nonlocal recursions for symmetry algebras of nonlinear coupled boson-fermion s…