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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 1 1/2-dimensional version of Hopf's Theorem on the number of ends of a group.

Robert Bieri (1982)

Commentarii mathematici Helvetici

A Cohomological Property of Regular p-Groups.

Peter Schmid (1980)

Mathematische Zeitschrift

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

Robert Bieri (1980)

Mathematische Zeitschrift

A Construction of Representations of Weyl Groups.

T.A. Springer (1978)

Inventiones mathematicae

A Filtration of Schur Multiplicator.

Urs Stammbach, Inder Bir S. Passi (1973/1974)

Mathematische Zeitschrift

A Functorial Transfer Theorem.

Donald W. Barnes (1970)

Mathematische Zeitschrift

A generalized Hopf formula for higher homology groups.

Ralph Stöhr (1989)

Commentarii mathematici Helvetici

A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.

Robert Bieri (1976)

Inventiones mathematicae

A homological exact sequence associated with a family of normal subgroups

Antonio G. Rodicio (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

A Homological Finiteness Criterion.

Ralph Strebel (1976)

Mathematische Zeitschrift

A local method in group cohomology.

P.J. Webb (1987)

Commentarii mathematici Helvetici

A Magnus-Witt type isomorphism for non-free groups.

Ellis, G. (2002)

Georgian Mathematical Journal

A note on groups with torsion-free abelianization and trivial multiplicator.

Ralph Strebel (1979)

Commentarii mathematici Helvetici

A Relative cohomological invariant for group pairs.

M.G.C. Andrade, E.L.C. Fanti (1994)

Manuscripta mathematica

A short proof of Eilenberg and Moore’s theorem

Maria Nogin (2007)

Open Mathematics

In this paper we give a short and simple proof the following theorem of S. Eilenberg and J.C. Moore: the only injective object in the category of groups is the trivial group.

A Specialization Theorem for Certain Weyl Group Representations and an Application to the Green Polynomials of Unitary Groups.

R. Hotta, T.A. Springer (1977)

Inventiones mathematicae

A split exact sequence of Mackey functors.

P.J. Webb (1991)

Commentarii mathematici Helvetici

A splitting principle for group representations.

Peter Symonds (1991)

Commentarii mathematici Helvetici

Active sums I.

J. Alejandro Díaz-Barriga, Francisco González-Acuña, Francisco Marmolejo, Leopoldo Román (2004)

Revista Matemática Complutense

Given a generating family F of subgroups of a group G closed under conjugation and with partial order compatible with inclusion, a new group S can be constructed, taking into account the multiplication in the subgroups and their mutual actions given by conjugation. The group S is called the active sum of F, has G as a homomorph and is such that S/Z(S) ≅ G/Z(G) where Z denotes the center.The basic question we investigate in this paper is: when is the active sum S of the family F isomorphic to the...

Currently displaying 1 – 20 of 372

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