Remarks on modules of the ortho-symplectic Lie superalgebras
by Shun-Jen Cheng   Weiqiang Wang  

Vol. 3 No. 3 (2008) P.353~P.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.

KEYWORDS
Lie superalgebras, finite-dimensional representations, ortho-symplectic superalgebras, Euler characters, Jacobi-Trudi characters

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 17B10, 17B55

MILESTONES

Received: 2007-11-05
Revised : 2008-02-05
Accepted: 2008-02-06

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