14 citations · 40 across the 8 of their papers we have counts for
8 papers
On the cohomology of real Grassmann manifolds
Luis Casian, Yuji Kodama
We give an explicit and simple construction of the incidence graph for the integral cohomology of real Grassmann manifold Gr(k,n) in terms of the Young diagrams filled with the let…
Cohomology of real Grassmann manifold and KP flow
Luis Casian, Yuji Kodama
We consider a realization of the real Grassmann manifold Gr(k,n) based on a particular flow defined by the corresponding (singular) solution of the KP equation. Then we show that t…
Singular structure of Toda lattices and cohomology of certain compact Lie groups
L. Casian, Y. Kodama
We study the singularities (blow-ups) of the Toda lattice associated with a real split semisimple Lie algebra . It turns out that the total number of blow-up points al…
Toda lattice, cohomology of compact Lie groups and finite Chevalley groups
Luis Casian, Yuji Kodama
In this paper, we describe a connection that exists among (a) the number of singular points along the trajectory of Toda flow, (b) the cohomology of a compact subgroup , and (c)…
Compactification of the isospectral varieties of nilpotent Toda lattices
Luis Casian, Yuji Kodama
The paper concerns a compactification of the isospectral varieties of nilpotent Toda lattices for real split simple Lie algebras. The compactification is obtained by taking the clo…
Blow-ups of the Toda lattices and their intersections with the Bruhat cells
Luis. Casian, Yuji. Kodama
We study the topology of the set of singular points (blow-ups) in the solution of the nonperiodic Toda lattice defined on real split semisimple Lie algebra . The set o…