The category O for the periplectic Lie superalgebra
The periplectic Lie superalgebra p(n) is a superanalogue of the orthogonal or symplectic Lie algebra preserving an odd non-degenerate symmetric or skew-symmetricbilinear form. While the BGG categories O for the other finite-dimensional simple Liesuperalgebras are not well understood at present, the irreducible characters and linkage principles for most of them have been worked out with the exception of p(n).
In this talk, we will introduce the BGG category O for p(n). In particular, we will introduce the linkage principle and primitive spectrum for p(n). This is joint work with Kevin Coulembier.