6 citations · 20 across the 11 of their papers we have counts for
11 papers
Weyl group invariants
Masaki Kameko, Mamoru Mimura
For any odd prime , we prove that the induced homomorphism from the mod cohomology of the classifying space of a compact simply-connected simple connected Lie group to the W…
Cohomology mod 3 of the classifying space of the exceptional Lie group , I : structure of Cotor
Mamoru Mimura, Yuriko Sambe, Michishige Tezuka
We study the structure of the -term of the Rothenberg-Steenrod spectral sequence converging to the mod 3 cohomology of the classifying space of the compact, connected, simply…
Cohomology mod 3 of the classifying space of the exceptional Lie group , II : The Weyl group invariants
Mamoru Mimura, Yuriko Sambe, Michishige Tezuka
We calculate the Weyl group invariants with respect to a maximal torus of the exceptional Lie group .
On the Lusternik-Schnirelmann category of symmetric spaces of classical type
Mamoru Mimura, Kei Sugata
We determine the Lusternik-Schnirelmann category of the irreducible, symmetric Riemann spaces SU(n)/SO(n) and SU(2n)/Sp(n) of type AI and AII respectively.
On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups
Masaki Kameko, Mamoru Mimura
We compute the cotorsion product of the mod 2 cohomology of spinor group spin(n), which is the E_2-term of the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of the…
On the Stiefel-Whitney classes of the representations associated with Spin(15)
Mamoru Mimura, Tetsu Nishimoto
We determine the Stiefel-Whitney classes of the second exterior representation and the spin representation of Spin(15), which are useful to calculate the mod 2 cohomology of the cl…