Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$

Details Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$ Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$

2004-02-26

arxiv.org/abs/math/0402419v1

Mathematics

Quantum Algebra

42 pages

Scientific paper

We explicitly compute the first and second cohomology groups of the classical Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$ with coefficients in the finite dimensional irreducible modules and the Kac modules. We also show that the second cohomology groups of these Lie superalgebras with coefficients in the respective universal enveloping algebras (under the adjoint action) vanish. The latter result in particular implies that the universal enveloping algebras $U(sl_{m|n})$ and $U(osp_{2|2n})$ do not admit any non-trivial formal deformations of Gerstenhaber type.

Affiliated with

Also associated with

No associations

Rating

Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of Lie superalgebras $sl_{m|n}$ and $osp_{2|2n}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-130358