NORTHEASTERNUNIVERSITY
MATHEMATICSDEPARTMENT


Geometry-Algebra-Singularities-Combinatorics 
Seminar

 
Family algebras

 

Natasha Rozhkovskaya

(University of Pennsylvania)



 
 
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Monday, October 13, 2001

 
 
 

Abstract: Let V be an irreducible finite-dimensional representation of a semisimple Lie group G, g=Lie(g) and U(g) - the universal enveloping algebra. An algebra of invariants Q_V=(U(g) otimes End V)^G is called a  quantum family algebra.
   We study the structure of Q_V over the center of U(g),  give a criterion of commutativity. Some related characteristic identities and the examples of family algebras are given.
Home Web page: Alexandru I. Suciu Created: September 18, 2001
Maintained by:  Misha Kogan URL: http://www.math.neu.edu/~GASC/gas/rozhkovskaya.html