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Starting from deformation quantization (star-products), the quantization problem of Nambu Mechanics is investigated. After considering some impossibilities and pushing some analogies with field… (More)

- Giuseppe Dito, Moshé Flato
- 1997

AbstractWe study Abelian generalized deformations of the usual product of polynomials introduced in an earlier work. We construct an explicit example for the case of
$$\mathfrak{s}\mathfrak{u} $$… (More)

In this monograph we prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac (M-D) equations is integrable to a global nonlinear representation $U$ of the… (More)

- Moshé Flato
- 1998

We present briefly the deformation philosophy and indicate, with references, how it was applied to the quantization of Nambu mechanics and to particle physics in anti De Sitter space.

Connection coefficients for $A$-type Jackson integral and Yang-Baxter equation by K. Aomoto and Y. Kato Representations of the moonshine module vertex operator algebra by C. Dong The construction of… (More)

- Moshé Flato
- 2000

We explain how to use a certain new “Jacobi identity” for vertex operator algebras, announced in a previous paper (math.QA/9909178), to interpret and generalize recent work of S. Bloch’s relating… (More)

We review the developments in the past twenty years (which are based on our deformation philosophy of physical theories) dealing with elementary particles composed of singletons in anti De Sitter… (More)

- Moshé Flato
- 1999

We write the integral formula of Tarasov-Varchenko type for the solutions to the quantum Knizhnik-Zamolodchikov equation associated with a tensor product of the vector representations of sln. We… (More)

The study starts with the kinematical aspects of singletons and massless particles. It extends to the beginning of a field theory of composite elementary particles and its relations with conformal… (More)

- Moshé Flato
- 1999

We explain how to use a certain new “Jacobi identity” for vertex operator algebras, announced in a previous paper (math.QA/9909178), to interpret and generalize recent work of S. Bloch’s relating… (More)