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$1$ -cocycles on the group of contactomorphisms on the supercircle $S^{1 | 3}$ generalizing the Schwarzian derivative

Boujemaa Agrebaoui, Raja Hattab (2016)

Czechoslovak Mathematical Journal

The relative cohomology $H_{diff}^{1} (𝕂 (1 | 3), 𝔬𝔰𝔭 (2, 3); 𝒟_{λ, μ} (S^{1 | 3}))$ of the contact Lie superalgebra $𝕂 (1 | 3)$ with coefficients in the space of differential operators $𝒟_{λ, μ} (S^{1 | 3})$ acting on tensor densities on $S^{1 | 3}$ , is calculated in N. Ben Fraj, I. Laraied, S. Omri (2013) and the generating $1$ -cocycles are expressed in terms of the infinitesimal super-Schwarzian derivative $1$ -cocycle $s (X_{f}) = D_{1} D_{2} D_{3} (f) α_{3}^{1 / 2}$ , $X_{f} \in 𝕂 (1 | 3)$ which is invariant with respect to the conformal subsuperalgebra $𝔬𝔰𝔭 (2, 3)$ of $𝕂 (1 | 3)$ . In this work we study the supergroup case. We give an explicit construction of $1$ -cocycles of the group...

A Canonical Filtration for Certain Rational Modules.

Eric M. Friedlander (1984/1985)

Mathematische Zeitschrift

A Connection between the Integral Homology and the Centre of a Rational Linear Group.

Robert Bieri (1980)

Mathematische Zeitschrift

A Nonvanishing Theorem for the Cuspidal Cohomology of SL2 Over Imaginary Quadratic Integers.

Joachim Schwermer, Fritz Grunewald (1981)

Mathematische Annalen

A note on Steinberg modules and Frobenius splitting.

V.B. Mehta, T.N. Venkataramana (1996)

Inventiones mathematicae

A Stiefel complex for the orthogonal group of a field.

K. Vogtmann (1982)

Commentarii mathematici Helvetici

A Very Simple Proof of Bott's Theorem.

Michel Demazure (1976)

Inventiones mathematicae

An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.

Chernousov, Vladimir (1998)

Documenta Mathematica

An infinite dimensional Hodge-Tate theory

Shankar Sen (1993)

Bulletin de la Société Mathématique de France

Arithmetisch definierte Gruppen mit Galoisoperation.

J. Rohlfs (1978)

Inventiones mathematicae

Bar complexes and extensions of classical exponential functors

Antoine Touzé (2014)

Annales de l’institut Fourier

We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane spaces.This article completes earlier results of the author, and provides an alternative approach to classical Ext-computations in the category of strict polynomial functors over fields. We also obtain significant Ext-computations for strict polynomial functors...

Currently displaying 1 – 20 of 147

Page 1 Next

Displaying 1 – 20 of 147

$1$ -cocycles on the group of contactomorphisms on the supercircle $S^{1 | 3}$ generalizing the Schwarzian derivative

A Canonical Filtration for Certain Rational Modules.

A Connection between the Integral Homology and the Centre of a Rational Linear Group.

A Nonvanishing Theorem for the Cuspidal Cohomology of SL2 Over Imaginary Quadratic Integers.

A note on Steinberg modules and Frobenius splitting.

A Stiefel complex for the orthogonal group of a field.

A Very Simple Proof of Bott's Theorem.

An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.

An infinite dimensional Hodge-Tate theory

Arithmetisch definierte Gruppen mit Galoisoperation.

Bar complexes and extensions of classical exponential functors

Caractères des groupes réductifs finis et $𝒟$ -modules

Catégories dérivées et variétés de Deligne-Lusztig

Central extensions of reductive groups by $K_{2}$

Classification of hermitian forms and semisimple gorups over fields of virtual cohomological dimension one.

Cohomologie de $S L_{n}$ et valeurs de fonctions zêta aux points entiers

Cohomologie des groupes discrets

Cohomology of classifying spaces of complex Lie groups and related discrete groups.

Cohomology of Congruence Subgroups of SL (n,Z).

Cohomology of Induced Representations for Algebraic Groups.

Currently displaying 1 – 20 of 147