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A Cohomological Proof of the Torus Theorem.

James P. Lin (1985)

Mathematische Zeitschrift

A description based on Schubert classes of cohomology of flag manifolds

Masaki Nakagawa (2008)

Fundamenta Mathematicae

We describe the integral cohomology rings of the flag manifolds of types Bₙ, Dₙ, G₂ and F₄ in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.

A Filtration of the Loops on SU (N) by Schubert Varieties.

Steven A. Mitchell (1986)

Mathematische Zeitschrift

A Leibniz algebra structure on the second tensor power.

Kurdiani, R., Pirashvili, T. (2002)

Journal of Lie Theory

A note on a 3-dimensional homogeneous space

J. H. Rubinstein, C. Gardiner (1979)

Compositio Mathematica

A Note on Quotients of Real Algebraic Groups by Arithmetic Subgroups.

M.S. RAGHUNATHAN (1967/1968)

Inventiones mathematicae

A note on the cohomology ring of the oriented Grassmann manifolds ${\tilde{G}}_{n, 4}$

Tomáš Rusin (2019)

Archivum Mathematicum

We use known results on the characteristic rank of the canonical $4$ –plane bundle over the oriented Grassmann manifold ${\tilde{G}}_{n, 4}$ to compute the generators of the $ℤ_{2}$ –cohomology groups $H^{j} ({\tilde{G}}_{n, 4})$ for $n = 8, 9, 10, 11$ . Drawing from the similarities of these examples with the general description of the cohomology rings of ${\tilde{G}}_{n, 3}$ we conjecture some predictions.

Addendum to the Paper Entitled: "Structural Theorems for Topological Actions of Z2-Torion Real, Complex and Quaternionic Projective Spaces".

Wu Yi Hsiang (1975)

Commentarii mathematici Helvetici

Currently displaying 1 – 20 of 20

Page 1

Displaying 1 – 20 of 20

A Cohomological Proof of the Torus Theorem.

A description based on Schubert classes of cohomology of flag manifolds

A Filtration of the Loops on SU (N) by Schubert Varieties.

A Leibniz algebra structure on the second tensor power.

A note on a 3-dimensional homogeneous space

A Note on Quotients of Real Algebraic Groups by Arithmetic Subgroups.

A note on the cohomology ring of the oriented Grassmann manifolds ${\tilde{G}}_{n, 4}$

A propos de conjectures de Serre et Sullivan.

A Remark on Universal Connections.

Actions, functors and the bar construction

Actions of Compact Lie Groups on Homogeneous Spaces.

Actions of Groups with Periodic Cohomology on Poincaré Duality Spaces.

Addendum to the Paper Entitled: "Structural Theorems for Topological Actions of Z2-Torion Real, Complex and Quaternionic Projective Spaces".

Algebra cochains and cyclic cohomology

Algebre di Hopf e invarianti di 3-varietà con combing e framing

Allgemeine Lage und äquivariante Homotopie.

An integral formula for cocycles of Lie groups

Applications of perturbation theory to iterated fibrations.

Arrondissement des variétés à coins - Appendice à "Corners and Arithmetic Groups"

Automorphic representations and Lefschetz numbers

Currently displaying 1 – 20 of 20