Prof. Allen Knutson's Math 7390, Spring 2009
Monday/Wednesday 11:40-12:55 in Malott 205
Course description
here
.
Monday, 1/19:
Reduced row-echelon form of k x n matrices
Grassmannian Gr(k,n) of k-planes in n-space
Plucker coordinates on the Grassmannian (easy proof of homogeneous well-definedness; no proof yet that they generate the invariant ring)
Various sets with n choose k elements, e.g. partitions in a k x (n-k) box
Bruhat order thereon