Enveloping algebras of Filippov algebras

Communications in Algebra

Volumn 31, Issue 2, 2003, Pages 883-900

  Pojidaev, Alexandre P ^a,b  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037323109     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120017349     Document Type: Article

References (9)

1. Daletskii, Y. L., Takhtajan, L. A. (1997). Leibniz and Lie algebra structures for Nambu algebra. Lett. Math. Phys. 39:127-141.
2. Filippov, V. T. (1985). n-Lie algebras. Siberian Math. J. 26(6):126-140.
3. Filippov, V. T. (1998). On n-Lie algebra of Jacobians. Siberian Math. J. 39(3):573-581.
4. Grabowski, J., Marmo, G. (2000). On Filippov algebroids and multiplicative Nambu-Poisson structures. Differential Geom. Appl. 12(1):35-50.
5. Ling Wuxue (1993). On the Structure of n-Lie Algebras. Thesis, Siegen University, GHS-Siegen, 61p.
6. Nambu, Y. (1973). Generalized Hamiltonian mechanics. Phys. Rev. D 7:2405-2412.
7. Pozhidaev, A. P. (1998). Simple factor-algebras and subalgebras of Jacobian algebras. Siberian Math. J. 39(3):512-517.
8. Pozhidaev, A. P. (2001). n-ary Malcev algebras. Algebra and Logic 40(3):170-182.
9. Takhtajan, L. A. (1994). On foundation of the generalized Nambu mechanics. Comm. Math. Phys. 160:295-315.