DATE2019-10-25 16:10-17:00


SPEAKER陳志瑋 助理教授(中央大學數學系

TITLETilting Modules for the Periplectic Lie Superalgebra

ABSTRACT The periplectic Lie superalgebra p(n) is a superanalogue of the orthogonal or symplectic Lie algebra. While the BGG categories O for the other finite-dimensional simple Liesuperalgebras are not well understood at present, the character of tilting modules for most of them have been worked out with the exception of p(n). In this talk, we will introduce a version of Ringel duality of arbitrary BGG category O for p(n) which give rise to an approach to the problem of tilting characters. This talk is based on joint work with Shun-Jen Cheng and Kevin Coulembier.