10 citations · 51 across the 10 of their papers we have counts for
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Darondeau-Pragacz formulas in complex cobordism
Masaki Nakagawa, Hiroshi Naruse
In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in the ordinary cohomology theory, which are due to Darondeau-Pragacz, to the complex cobordism theo…
Universal factorial Schur -functions and their duals
Masaki Nakagawa, Hiroshi Naruse
We define universal factorial Schur -functions and their duals, which specialize to generalized (co)-homology "Schubert basis" for loop spaces of the classical groups. We also…
The universal factorial Hall-Littlewood - and -functions
Masaki Nakagawa, Hiroshi Naruse
In this paper, we introduce {\it factorial} analogues of the ordinary Hall--Littlewood - and -polynomials, which we call the {\it factorial Hall--Littlewood - and -poly…
Universal Gysin formulas for the universal Hall-Littlewood functions
Masaki Nakagawa, Hiroshi Naruse
It is known that the usual Schur - and -polynomials can be described via the Gysin homomorphisms for flag bundles in the ordinary cohomology theory. Recently, P. Pragacz gene…
Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur - and -functions
Masaki Nakagawa, Hiroshi Naruse
In this paper, we study the generalized (co)homology Hopf algebras of the loop spaces on the infinite classical groups, generalizing the work due to Kono-Kozima and Clarke. We shal…
The integral cohomology ring of E_8/T
Masaki Nakagawa
We give a complete description of the integral cohomology ring of the flag manifold E_8/T, where E_8 denotes the compact exceptional Lie group of rank 8 and T its maximal torus, by…
The integral cohomology ring of E_8/T^1E_7
Masaki Nakagawa
We determine the integral cohomology ring of the homogeneous space E_8/T^1E_7 by the Borel presentation and a method due to Toda. Then using the Gysin exact sequence associated wit…
The Chow rings of the algebraic groups E_6, E_7, and E_8
Shizuo Kaji, Masaki Nakagawa
We determine the Chow rings of the complex algebraic groups of the exceptional type E_6, E_7, and E_8, giving the explicit generators represented by the pull-back images of Schuber…
A description based on Schubert classes of cohomology of flag manifolds
Masaki Nakagawa
We describe the integral cohomology rings of the flag manifolds of types B_n, D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the divided difference operators…