College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Fall 2005
Monday,
December 5, 2005
2:30 pm, Science 2-065
2:30 pm, Science 2-065
Steven Jackson
University of Massachusetts BostonPrehomogeneous Spaces Associated With Real Nilpotent Orbits
Abstract:
Let g_0 be a real semisimple Lie algebra. Each conjugacy
class of nilpotent elements in g_0 gives rise via the
Kostant-Sekiguchi correspondence to a Z-grading on the
associated symmetric pair (g,k), with respect to which
each homogeneous component is a prehomogeneous vector space under
the natural action of K_0. In this talk, we discuss methods
for the determination of the isomorphism types and relative invariants
of these prehomogeneous spaces from combinatorial data attached to
the nilpotent orbit. This is joint work with Alfred Noël.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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