Does anybody know good references to learn about Lie superalgebras? I started with Howe's "Remarks on classical invariant theory", which contains a study of osp(m,2n), and now I am reading Kac's '77 Advances paper. I wonder if there are other helpful sources. I am especially interested in getting a feel for the representation theory.
Have you seen the survey by Frappat-Sciarrino-Sorba, "Dictionary on Lie Superalgebras" listed here?
When you have collected more references, please feel encouraged to add them to that list there...
- D. Leites, Lie superalgebras, J. Soviet Math. 30 (1985), 2481-2512 [http://dx.doi.org/10.1007/BF02249121 ] - a survey.
- M. Scheunert, The theory of Lie superalgebras. An introduction, Lect. Notes Math. 716 (1979) [should be available online].
For a quick, self-learning introduction you can take a look at Alberto Elduque's talks and papers in
starting first with the talk called "Simple modular Lie superalgebras; Encuentro Matemático Hispano-Marroquí (Casablanca, 2008)."
By request, I have moved Kaplansky's never-quite-published writings on Lie and Jordan superalgebras to one of my sites, in this case
I also posted some of his correspondence with Kevin McCrimmon
The representation theory has been developed by a number of people, including Jon Brundan and Sasha Kleschchev at U. Oregon. Take a look at the publication list Brundan has (with PDF files) on his homepage: http://darkwing.uoregon.edu/~brundan/research.php