TABLA DE CONTENIDO

• INTRODUCTION.
• AXIOMATIC FOUNDATION OF CONTINUUM Z-GRADED CONTRAGREDIENT LIE ALGEBRAS.
• MAIN EXAMPLES.
1. DISCRETE CASE (THE KAC-MOODY ALGEBRAS).
2. CURRENT ALGEBRA.
3. POISSON BRACKETS ALGEBRA.
4. THE SIMPLEST CONTINOUS LIMIT OF THE SERIES A_n; (KERNEL: d´´).
5. THE NONSYMMETRIZABLE CASE; (KERNEL: d´).
6. CASE WITH d-TYPE KERNELS.
7. VECTOR FIELD ON A MANIFOLD.
8. THE HILBERT-CARTAN OPERATOR.
• NONLINEAR SYSTEMS ASSOCIATED WITH CONTINUUM CONTRAGREDIENT LIE ALGEBRAS.
• CONCLUSION.
• ACKNOWLEDGMENTS.
• REFERENCES.