Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality

Details Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality

2010-12-10

arxiv.org/abs/1012.2326v1

Mathematics

Representation Theory

30 pages, submitted for publication

Scientific paper

We initiate and develop the theory of finite $W$-superalgebras $\mathcal{W}_\chi$ associated to the queer Lie superalgebra $\g=\q(N)$ and a nilpotent linear functional $\chi \in \ev\g^*$. We show that the definition of the $W$-superalgebra is independent of various choices. We also establish a Skryabin type equivalence between the category of $\mathcal{W}_\chi$-modules and a category of certain $\g$-modules. A higher Sergeev duality is established extending the classical Sergeev duality at level 1 under suitable assumptions.

Affiliated with

Also associated with

No associations

Rating

Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality 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 Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite $W$-superalgebras for queer Lie superalgebras and higher Sergeev duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108267