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math.RT2009★ 2 cited
Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev +1
For modular Lie superalgebras, new notions are introduced: Divided power homology and divided power cohomology. For illustration, we give presentations (in terms of analogs of Chev…
math.RT2009
Deformations of the Lie algebra o(5) in characteristics 3 and 2
Sofiane Bouarroudj, Alexei Lebedev, Friedrich Wagemann
The finite dimensional simple modular Lie algebras with Cartan matrix cannot be deformed if the characteristic p of the ground field is equal to 0 or greater than 3. If p=3, the or…