| 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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Maintained by: Alexandru I. Suciu | Created: April 22 1998 |
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URL: http://www.math.neu.edu/~suciu/gas/zelevinsky.html |