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On the WDVV equations in five-dimensional gauge theories

- L. Hoevenaars, R. Martini
- Physics, Mathematics
- 4 December 2002

It is well-known that the perturbative prepotentials of four-dimensional ${\cal N}=2$ supersymmetric Yang-Mills theories satisfy the generalized WDVV equations, regardless of the gauge group. In this… Expand

Prolongation structure of the Landau-Lifshitz equation

- G. Roelofs, R. Martini
- Mathematics
- 1 June 1993

The prolongation method of Wahlquist and Estabrook is applied to the Landau–Lifshitz equation. The resulting prolongation algebra is shown to be isomorphic to a subalgebra of the tensor product of… Expand

Prolongation structure of the Krichever–Novikov equation

- S. Igonin, R. Martini
- Mathematics, Physics
- 5 August 2002

We completely describe Wahlquist-Estabrook prolongation structures (coverings) dependent on $u,\,u_x,\,u_{xx},\,u_{xxx}$ for the Krichever-Novikov equation… Expand

Trigonometric Solutions of the WDVV Equations from Root Systems

- R. Martini, L. Hoevenaars
- Mathematics, Physics
- 24 February 2003

By introduction of an additional variable and addition of a Weyl invariant correction term to the perturbative prepotential in five-dimensional Seiberg-Witten theory we construct solutions of the… Expand

Prolongation structure of the KdV equation in the bilinear form of Hirota

- G. Roelofs, R. Martini
- Mathematics
- 7 June 1990

The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation… Expand

Differential calculi on universal enveloping algebras of Lie algebras

- R. Martini, G. Post, P. Kersten
- Mathematics
- 1995

The harmonic map and Killing fields for self-dual SU(3) Yang-Mills equations

- P. Kersten, R. Martini
- Mathematics
- 1 April 1984

Using symbolic computations, the unique metric in the space of fields, required to describe self-dual SU(3) Yang-Mills equations by a harmonic map, is determined. Moreover the complete Lie algebra of… Expand

Symbolic computations in applied differential geometry

- P. Gragert, P. Kersten, R. Martini
- Mathematics
- 1 March 1983

The main aim of this paper is to contribute to the automatic calculations in differential geometry and its applications, with emphasis on the prolongation theory of Estabrook and Wahlquist, and the… Expand

Differential Calculi on Universal Enveloping Algebras

- R. Martini, G. Post
- Mathematics
- 21 January 1997

Quantization of differential calculi on universal enveloping algebras

- N. W. Hijligenberg, R. Martini, G. Post
- Mathematics
- 1 August 1996

A method to construct differential calculi on quantized universal enveloping algebras is discussed. These differential calculi are obtained by quantizing calculi on 'classical' enveloping algebras… Expand

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