342 citations · 690 across the 37 of their papers we have counts for
37 papers
The Low-Dimensional Algebraic Cohomology of the Virasoro Algebra
Jill Ecker, Martin Schlichenmaier
The main aim of this article is to prove the one-dimensionality of the third algebraic cohomology of the Virasoro algebra with values in the adjoint module. We announced this resul…
The Vanishing of the Low-Dimensional Cohomology of the Witt and the Virasoro algebra
Jill Ecker, Martin Schlichenmaier
A proof of the vanishing of the third cohomology group of the Witt algebra with values in the adjoint module is given. Moreover, we provide a sketch of the proof of the one-dimensi…
-point Virasoro algebras are multi-point Krichever--Novikov type algebras
Martin Schlichenmaier
We show how the recently again discussed -point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras a…
From the Virasoro Algebra to Krichever--Novikov Type Algebras and Beyond
Martin Schlichenmaier
Starting from the Virasoro algebra and its relatives the generalization to higher genus compact Riemann surfaces was initiated by Krichever and Novikov. The elements of these algeb…
Lie superalgebras of Krichever-Novikov type and their central extensions
Martin Schlichenmaier
Classically important examples of Lie superalgebras have been constructed starting from the Witt and Virasoro algebra. In this article we consider Lie superalgebras of Krichever-No…
Berezin-Toeplitz Quantization and Star Products for Compact Kaehler Manifolds
Martin Schlichenmaier
For compact quantizable Kähler manifolds certain naturally defined star products and their constructions are reviewed. The presentation centers around the Berezin-Toeplitz quantiza…