Remarks on modules of the ortho-symplectic Lie superalgebras

2008 / September Volume 3 No.3

Published Date	2008 / September
Title	Remarks on modules of the ortho-symplectic Lie superalgebras
Author	Shun-Jen Cheng, Weiqiang Wang
Keyword	Lie superalgebras, finite-dimensional representations, orthosymplectic superalgebras, Euler characters, Jacobi-Trudi characters, Lie superalgebras, finite-dimensional representations, ortho-symplectic superalgebras, Euler characters, Jacobi-Trudi characters
Download	Download PDF
Pagination	353-372
Abstract	We examine in detail the Jacobi-Trudi characters over the ortho-symplectic Lie superalgebras $\mathfrak{spo}(2\|2m + 1)$ and $\mathfrak{spo}(2n\|3)$. We furthermore relate them to Serganova’s notion of Euler characters.
AMS Subject Classification	17B10, 17B55
Received	2008-02-05
Accepted	2008-02-06

Bulletin, Institute of Mathematics, Academia Sinica