## A Galois correspondence for reductive groups and applications to the First Fundamental Theorems

• Date: 11/16/2006
Lecturer(s):

Hanspeter Kraft (Basel)

Location:

University of British Columbia

Topic:

Following some unpublished ideas of Lex Schrijver we will explain a new
approach to the First Fundamental Theorems (FFTs) from classical
invariant theory. It uses the tensor product of the two tensor algebras
$T(V)$ and $T(V^*)$ with the aim to set up a Galois correspondence
between reductive subgroups of GL(V) and certain subalgebras. As a
consequence, one gets -- in a unified way -- the well-known FFTs for
the classical groups and -- in addition -- also new FFTs for other
groups.

Other Information:

Algebraic Geometry Seminar 2006