๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the cohomology of the Lie algebra of hamiltonian vector fields

โœ Scribed by I.M Gelfand; O Mathieu

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
810 KB
Volume
108
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Commutant Algebra and Harmonic Polynomia
Commutant Algebra and Harmonic Polynomials of the Lie Algebra of Vector Fields
โœ Kyo Nishiyama ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

We determine the commutant algebra of W in the m-fold tensor product of its n natural representation in the case m F n. For m ) n, we show that the commutant algebra is of finite dimension by introducing a new kind of harmonic polynomial.

On the Orbit Method for the Lie Algebra
On the Orbit Method for the Lie Algebra of Vector Fields on a Curve
โœ Rosane Ushirobira ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

Let แ’„ be the Lie algebra of vector fields on an affine smooth curve โŒบ. Our goal is to establish an orbit method for แ’„. Since แ’„ is infinite-dimensional, we face some technical problems. Without having groups acting on แ’„, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti

On the Cohomology of Infinite Dimensiona
On the Cohomology of Infinite Dimensional Nilpotent Lie Algebras
โœ A. Fialowski ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology