Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type

Details Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type

2001-12-12

arxiv.org/abs/math/0112116v3

Mathematics

Quantum Algebra

38 pages, Amslatex, some minor changes in Section 7

Scientific paper

Multi-point algebras of Krichever Novikov type for higher genus Riemann surfaces are generalisations of the Virasoro algebra and its related algebras. Complete existence and uniqueness results for local 2-cocycles defining almost-graded central extensions of the functions algebra, the vector field algebra, and the differential operator algebra (of degree \le 1) are shown. This is applied to the higher genus, multi-point affine algebras to obtain uniqueness for almost-graded central extensions of the current algebra of a simple finite-dimensional Lie algebra. An earlier conjecture of the author concerning the central extension of the differential operator algebra induced by the semi-infinite wedge representations is proved.

Affiliated with

Also associated with

No associations

Rating

Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local cocycles and central extensions for multi-point algebras of Krichever-Novikov type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82639