REPRESENTATION THEORY AND RELATED TOPICS SEMINAR
ABSTRACT: In this talk we
will discuss bounded weight modules, i.e., modules that
decompose as direct sums of weight spaces and whose sets
of weight multiplicities are uniformly bounded. Our focus
will be on direct limits of classical Lie algebras and
superalgebras. In particular, we will present the
classification of the simple bounded weight modules over
\mathfrak{sl} (\infty), \mathfrak{o} (\infty),
\mathfrak{sp} (\infty), as well as over their
super-analogs. A key role in the study plays the theory of
weight modules over Weyl and Clifford superalgebras of
infinitely many variables. The talk is based on joint
works with I. Penkov and V. Serganova.
For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky a.martsinkovsky >at< northeastern >dot< edu for meeting number and password