Mathematics – Quantum Algebra
Scientific paper
2004-11-22
Mathematics
Quantum Algebra
30 pages
Scientific paper
We discuss the higher dimensional generalizations of the Virasoro and Affine Kac-Moody Lie algebras. We present an explicit construction for a central extensions of the Lie Algebra $Map (X, \g)$ where $\g$ is a finite-dimensional Lie algebra and $X$ is a complex manifold that can be described as a "right" higher-dimensional generalization of $C^*$ from the point of view of a corresponding group action. The constructed algebras have most of the good properties of finite dimensional semi-simple Lie algebras and are a new class of generalized Kac-Moody algebras. These algebras have description in terms of higher dimensional local fields.
No associations
LandOfFree
Higher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie Algebras 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 Higher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-Dimensional generalizations of Affine Kac-Moody and Virasoro Lie Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-168299