NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
 

Geometry-Algebra-Singularities Seminar

 

 

"Total positivity and double Bruhat cells"

 

Andrei Zelevinksy

Northeastern University

 



 

Northeastern University

509 Lake Hall

1:30-2:30 p.m., Monday, May 4, 1998

 
 
Abstract:  An invertible matrix is totally nonnegative if all its minors (including all matrix entries) are nonnegative real numbers.  We discuss the generalization (due to G. Lusztig) of this classical notion to any semisimple group.  The natural geometric framework for this study is provided by the decomposition of the group into a disjoint union of double Bruhat cells (intersections of cells in two Bruhat decompositions with respect to opposite Borel subgroups.  This is joint work with S. Fomin
 



 
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