13 citations · 71 across the 20 of their papers we have counts for
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Cubic Dirac operator for
Andrey Krutov, Pavle Pandžić
We construct the -deformed Clifford algebra of and study its properties. This allows us to define the -deformed noncommutative Weil algebra $\mathcal{W}_q(\…
Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2
Andrey Krutov, Alexei Lebedev, Dimitry Leites +1
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgeb…
Duflo-Serganova homology for exceptional modular Lie superalgebras with Cartan matrix
Andrey Krutov, Dimitry Leites, Jin Shang
For the exceptional finite-dimensional modular Lie superalgebras with indecomposable Cartan matrix , and their simple subquotients, we computed non-isomorphic…
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…
On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2
Andrey Krutov, Alexei Lebedev
The ground field in the text is of characteristic 2. The classification of modulo 2 gradings of simple Lie algebras is vital for the classification of simple finite-dimensional Lie…