# Nambu-Poisson Tensors on Lie Groups

Banach Center Publications (2000)

- Volume: 51, Issue: 1, page 243-249
- ISSN: 0137-6934

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topNakanishi, Nobutada. "Nambu-Poisson Tensors on Lie Groups." Banach Center Publications 51.1 (2000): 243-249. <http://eudml.org/doc/209036>.

@article{Nakanishi2000,

abstract = {First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.},

author = {Nakanishi, Nobutada},

journal = {Banach Center Publications},

keywords = {Nambu-Poisson structure; invariant Nambu-Poisson tensor; Lie group; Lie algebra; homogeneous space},

language = {eng},

number = {1},

pages = {243-249},

title = {Nambu-Poisson Tensors on Lie Groups},

url = {http://eudml.org/doc/209036},

volume = {51},

year = {2000},

}

TY - JOUR

AU - Nakanishi, Nobutada

TI - Nambu-Poisson Tensors on Lie Groups

JO - Banach Center Publications

PY - 2000

VL - 51

IS - 1

SP - 243

EP - 249

AB - First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.

LA - eng

KW - Nambu-Poisson structure; invariant Nambu-Poisson tensor; Lie group; Lie algebra; homogeneous space

UR - http://eudml.org/doc/209036

ER -

## References

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- [2] C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85-124. Zbl0031.24803
- [3] B.-Y. Chu, Symplectic homogeneous spaces, Trans. Amer. Math. Soc. 197 (1974), 145-159. Zbl0261.53039
- [4] P. Gautheron, Some remarks concerning Nambu mechanics, Lett. Math. Phys. 37 (1996). 103-116. Zbl0849.70014
- [5] N. Nakanishi, On Nambu-Poisson manifolds, Rev. Math. Phys. 10 (1998), 499-510. Zbl0929.70015
- [6] L. Takhtajan, On foundation of the generalized Nambu mechanics, Commun. Math. Phys. 160 (1994), 295-315. Zbl0808.70015
- [7] I. Vaisman, Lectures on the geometry of Poisson manifolds, Birkhäuser, Basel, 1994.
- [8] A. Weinstein, The local structure of Poisson manifolds, J. Diff. Geom. 18 (1983), 523-557. Zbl0524.58011

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