# Classification of linearly compact simple Nambu-Poisson algebras

@inproceedings{Cantarini2016ClassificationOL, title={Classification of linearly compact simple Nambu-Poisson algebras}, author={Nicoletta Cantarini and Victor G. Kac}, year={2016} }

We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1–145 (2013)]. By making use of this notion we give a complete classification of simple linearly compact (generalized) n-Nambu-Poisson algebras over an algebraically closed field of characteristic zero.

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 10 REFERENCES

## The variational Poisson cohomology

VIEW 5 EXCERPTS

## Kac The variational Poisson Cohomology , Japan

## Identities and Derivations for Jacobian Algebras

VIEW 1 EXCERPT

## On foundations of generalized Nambu mechanics

VIEW 1 EXCERPT

## Generalized Hamiltonian Maechanics

VIEW 2 EXCERPTS