A Lie algebraic approach to Novikov algebras
โ Scribed by Chengming Bai; Daoji Meng
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 92 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0393-0440
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๐ SIMILAR VOLUMES
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. The commutator of a Novikov algebra is a Lie algebra in which there exists a special affine structure (connection with zero curvature and torsio
A general construction of equations satisfied by the components of z-functions is given by considering the tensor products of modules. As an example, the homogeneous basic realization of,'ll is given, leading to NLS equations.
This paper defines a remarkable Lie algebra of infinite dimension and rank, and conjectures that it may be related to the Fischer-Griess Monster group. The idea was discussed in [3] that there might be an infinite-dimensional Lie algebra (or superalgebra) L that in some sense "explains" the Fischer