The University of Queensland
Department of Mathematics

Mathematical Physics Seminar

Jacobson generators of the (quantum) superalgebra $sl(n+1|m)$. Fock representations and related statistics.

Nedialka Ilieva Stoilova
Institute for Nuclear Research and Nuclear Energy
Bulgarian Academy of Sciences
Sofia

Friday September 29, 4.00 pm
Room 111, Priestly Building

Abstract

A description of the Lie superalgebra $sl(n+1|m)$ and of its quantum analogue $U_q[sl(n+1|m)]$ via Jacobson generators (JG's) will be given. It provides an alternative to the canonical description of $sl(n+1|m)$ and $U_q[sl(n+1|m)]$ in terms of Chevalley generators. Using the JG's their Fock spaces will be constructed. The underlying statistics of the JG's will be discussed and the Pauli principle will be formulated.

All interested are invited to attend.

Enquires to Yao-Zhong Zhang on 3365 2309 or yzz@maths.uq.edu.au