The height function on the 2-dimensional cohomology of a flag manifold.

Duan, Haibao; Zhao, Xuan

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Displaying similar documents to “The height function on the 2-dimensional cohomology of a flag manifold.”

Nondegenerate cohomology pairing for transitive Lie algebroids, characterization

Jan Kubarski, Alexandr Mishchenko (2004)

Open Mathematics

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The Evens-Lu-Weinstein representation (Q A, D) for a Lie algebroid A on a manifold M is studied in the transitive case. To consider at the same time non-oriented manifolds as well, this representation is slightly modified to (Q Aor, Dor) by tensoring by orientation flat line bundle, Q Aor=QA⊗or (M) and D or=D⊗∂Aor. It is shown that the induced cohomology pairing is nondegenerate and that the representation (Q Aor, Dor) is the unique (up to isomorphy) line representation for which the...

Unramified cohomology of alternating groups

Fedor Bogomolov, Tihomir Petrov (2011)

Open Mathematics

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We prove vanishing results for the unramified stable cohomology of alternating groups.

On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four

Daniel Guan (2003)

Open Mathematics

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In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.

The Lie algebra cohomology of jets.

Kim, Yunhyong (2004)

Journal of Lie Theory

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On arithmetic quotients of the Siegel upper half space of degree two

Joachim Schwermer (1986)

Compositio Mathematica

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The Lie derivative and cohomology of $G$ -structures.

Malakhaltsev, M.A. (1999)

Lobachevskii Journal of Mathematics

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Leibniz cohomology for differentiable manifolds

Jerry M. Lodder (1998)

Annales de l'institut Fourier

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We propose a definition of Leibniz cohomology, $H L^{*}$ , for differentiable manifolds. Then $H L^{*}$ becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of $H L^{*} (R^{n}; R)$ reduce to those of formal vector fields, and can be identified with certain invariants of foliations.

The integral cohomology algebras of ordered configuration spaces of spheres.

Feichtner, Eva Maria, Ziegler, Günter M. (2000)

Documenta Mathematica

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Quantization of cohomology in semi-simple Lie algebras.

Milson, R., Richter, D. (1998)

Journal of Lie Theory

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On the cohomology of the classifying space of the gauge group over some 4-complexes

Gregor Masbaum (1991)

Bulletin de la Société Mathématique de France

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