A. Voronov, Cohomology of conformal algebras, Comm. Math. Phys. 200 (1999), 561 598.B. Bakalov, V.G. Kac, A.A. Voronov, "Cohomology of conformal algebras," Comm. Math. Phys. 200 (1999), 561-598.Baklov, B., Kac, V. G., and Voronov, A., "Cohomology of conformal algebras,"...
localityproperty.ThemainexamplesofsuchLiealgebrasarethose“based”onthe puncturedcomplexplane,suchastheVirasoroalgebraandloopLiealgebras.Inthe presentpaperwedevelopacohomologytheoryofconformalalgebraswithcoefficients inanarbitrarymodule.Itpossessesstandardspropertiesofcohomologytheories;for example,itdescribesextensionsan...
Show that if f is an Ad O(n) invariant polynomial of odd degree andΩ a riemannian curvature 2-form then f(Ω)≡0. b) Show that ifω (t) is a 1-parameter family of connections of conformal metrics one has f(dω(t)dt,Ω(t),…,Ω(t))=0. for any Ad Gl(n, ℕ) ...
Cohomology of Conformal Algebras The notion of a conformal algebra encodes an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the oth... B Bakalov,VG Kac,AA Voronov - 《Communications in Mathematical Physics》 被引量: 224发表: 1999年 Effect...
ARRANGEMENTSANDORLIK-SOLOMONALGEBRAS DANIELC.COHEN ForPeterOrlikontheoccasionofhissixtiethbirthday. Abstract.WerelatethecohomologyoftheOrlik-Solomonalgebraofadis- criminantalarrangementtothelocalsystemcohomologyofthecomplement. TheOrlik-Solomonalgebraofsuchanarrangement(viewedasacomplex)is ...
These geometries are dual to finite deformations of the 4d N = 1 SCFTs described by conventional Sasaki-Einstein manifolds. As such, they are associated to Calabi-Yau algebras with a deformed superpotential. We show how to compute the η-cohomology in terms of the transverse Dolbeault ...
which appear as inertial traces designed by swing-planes on the terrestrial circular floor panel which is situated beneath the covariant motion of the oscillating pendulum device and where the linear traces are designing diameters of the spin structure induced Poincaré conformal hyperbolic open disc ...
Functional bases of second-order differential invariants of the Euclid, Poincaré, Galilei, conformal, and projective algebras are constructed. The results... WI Fushchich,IA Yegorchenko - 《Acta Applicandae Mathematicae》 被引量: 37发表: 1992年 Periodic Solutions for a Class of Functional Differenti...
Lie conformal algebracohomologyconformal moduleIn this article, we compute cohomology groups of the semisimple Lie conformal algebraS=VirCurgwith coefficients in its irreducible modules for a finite-dimensional simple Lie algebrag.doi:10.1142/S1005386721000390Maosen Xu...
Witt algebra; Virasoro algebra; Lie algebra cohomology; deformations of algebras; rigidity; conformal field theory Articles in the same Issue Frontmatter Smooth global solutions for the two-dimensional Euler Poisson system Primitive ideals in quantum Schubert cells: Dimension of the strata Group ...