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Displaying 101 – 120 of 309

Cohomology of Drinfeld symmetric spaces and Harmonic cochains

Yacine Aït Amrane (2006)

Annales de l’institut Fourier

Let $K$ be a non-archimedean local field. This paper gives an explicit isomorphism between the dual of the special representation of $G L_{n + 1} (K)$ and the space of harmonic cochains defined on the Bruhat-Tits building of $G L_{n + 1} (K)$ , in the sense of E. de Shalit [11]. We deduce, applying the results of a paper of P. Schneider and U. Stuhler [9], that there exists a $G L_{n + 1} (K)$ -equivariant isomorphism between the cohomology group of the Drinfeld symmetric space and the space of harmonic cochains.

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Ivan Penkov, Vera Serganova (1989)

Annales de l'institut Fourier

We compute the unique nonzero cohomology group of a generic $G^{0}$ - linearized locally free $𝒪$ -module, where $G^{0}$ is the identity component of a complex classical Lie supergroup $G$ and $P ↪ G^{0}$ is an arbitrary parabolic subsupergroup. In particular we prove that for $G \neq ℙ (m), S ℙ (m)$ this cohomology group is an irreducible $G^{0}$ -module. As an application we generalize the character formula of typical irreducible $G^{0}$ -modules to a natural class of atypical modules arising in this way.

Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.

Dennis M. Snow (1986)

Mathematische Annalen

Combinatorial and group-theoretic compactifications of buildings

Pierre-Emmanuel Caprace, Jean Lécureux (2011)

Annales de l’institut Fourier

Let $X$ be a building of arbitrary type. A compactification $𝒞_{sph} (X)$ of the set ${Res}_{sph} (X)$ of spherical residues of $X$ is introduced. We prove that it coincides with the horofunction compactification of ${Res}_{sph} (X)$ endowed with a natural combinatorial distance which we call the root-distance. Points of $𝒞_{sph} (X)$ admit amenable stabilisers in $Aut (X)$ and conversely, any amenable subgroup virtually fixes a point in $𝒞_{sph} (X)$ . In addition, it is shown that, provided $Aut (X)$ is transitive enough, this compactification also coincides with the group-theoretic...

Combinatorial integers $(\binom{m, n}{j})$ and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds.

Özel, Cenap, Yilmaz, Erol (2006)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 101 – 120 of 309

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Displaying 101 – 120 of 309

Cohomology of Drinfeld symmetric spaces and Harmonic cochains

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.

Combinatorial and group-theoretic compactifications of buildings

Combinatorial integers $(\binom{m, n}{j})$ and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds.

Combined algebraic properties of central* sets.

Commensurability classes and volumes of hyperbolic 3-manifolds

Comments on a paper of Brown and Guivarc'h : “Espaces de Poisson des groupes de Lie”

Commutativity of intertwining operators for semisimple groups

Commuting operators and class functions.

Compact Abelian groups and extensions of Haar measures [Book]

Compact automorphic actions on an n-dimensional monoid with an (n-1) dimensional group of units.

Compact connected semilattices without the fixed point property.

Compact connected spaces supporting topological semigroups.

Compact fiberings of homogeneous spaces. I

Compact groups of automorphisms of stable planes.

Compact groups of automorphisms of von Neumann algebras.

Compact Lie groups with isomorphic homotopy groups.

Compact manifold of coherent states invariant by semisimple Lie groups

Compact normal bands of groups.

Currently displaying 101 – 120 of 309