59 citations · 318 across the 39 of their papers we have counts for
5 papers · 1 filter
Central extensions of current algebras
Pasha Zusmanovich
This is an old paper put here for archeological purposes. We compute the second cohomology of current Lie algebras of the form , where belongs to some class of Lie…
How Euler would compute the Euler-Poincaré characteristic of a Lie superalgebra
Pasha Zusmanovich
The Euler-Poincaré characteristic of a finite-dimensional Lie algebra vanishes. If we want to extend this result to Lie superalgebras, we should deal with infinite sums. We observe…
-Lie algebras
Pasha Zusmanovich
We study a certain generalization of Lie algebras where the Jacobian of three elements does not vanish but is equal to an expression depending on a skew-symmetric bilinear form.
The second homology group of current Lie algebras
Pasha Zusmanovich
This is an old paper put here for archeological purposes. We derive a general formula expressing the second homology of a Lie algebra of the form L\otimes A with coefficients in th…
A converse to the Whitehead Theorem
Pasha Zusmanovich
We show that finite-dimensional Lie algebras over a field of characteristic zero such that their high-degree cohomology in any finite-dimensional non-trivial irreducible module van…