NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
Geometry-Algebra-Singularities-Combinatorics 
Seminar
 
 
Generalized Littlewood-Richardson coefficients, canonical bases and total positivity 
 
 

Andrei Zelevinsky

(Northeastern University)
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Monday, January 31, 2000

 
 
Abstract: In a joint work with A.Berenstein, explicit polyhedral combinatorial expressions are obtained for generalized Littlewood-Richardson coefficients (= tensor product multiplicities) for an arbitrary semisimple Lie algebra. These expressions naturally correspond to different parametrizations of the canonical basis. Our main tool is an unexpected relationship (``geometric lifting") between combinatorics of the canonical basis, and geometry of totally positive varieties.  
 
Home Web page:  Alexandru I. Suciu  Created: January 26, 2000   
Maintained by:  Hal Schenck  URL: http://www.math.neu.edu/~GASC/gas/azelevinsky.html