Cohomology of Filippov algebras and an analogue of Whitehead's lemma

N. Jacobson, Lie and Jordan triple systems

1949

Earlier work this paper cites.

M. Gerstenhaber, On the deformation of rings and algebras

1964

Earlier work this paper cites.

A. Nijenhuis and R. W. Richardson Jr., Deformation of Lie algebra structures

1967

Earlier work this paper cites.

Y. Nambu, Generalized Hamiltonian dynamics

1973

Earlier work this paper cites.

N. Mukunda and E. G. C. Sudarshan, Relation between Nambu and Hamiltonian mechanics

1976

Earlier work this paper cites.

N. Jacobson, Lie algebras

1979

Earlier work this paper cites.

V. Filippov, n n -Lie algebras

1985

Earlier work this paper cites.

S. M. Kasymov, Theory of n n -lie algebras

1988

Earlier work this paper cites.

E. Bergshoeff, E. Sezgin, Y. Tanii and P. K. Townsend, Super p p -Branes as gauge theories of volume preserving diffeomorphisms

1990

Earlier work this paper cites.

D. Sahoo and M. C. Valsakumar, Nambu mechanics and its quantization

1992

Earlier work this paper cites.

T. Lada and J. Stasheff, Introduction to SH Lie algebras for physicists

1993

Earlier work this paper cites.

W. X. Ling, On the structure of n n -Lie algebras

1993

Earlier work this paper cites.

D. Sahoo and M. C. Valsakumar, Algebraic structure of Nambu mechanics

1993

Earlier work this paper cites.

J.-L. Loday, Une version non-commutative des algèbres de Lie

1993

Earlier work this paper cites.

J. L. Loday and T. Pirashvili, Universal enveloping algebras of Leibniz algebras and (co)homology

1993

Earlier work this paper cites.

J.-L. Loday, La renaissance of opérades

1994

Earlier work this paper cites.

L. Takhtajan, On Foundation of the generalized Nambu mechanics

1994

Earlier work this paper cites.

C. Cuvier, Algèbres de Leibnitz: definitions, propriétés

1994

Earlier work this paper cites.

P. Hanlon and M. Wachs, On Lie k k -algebras

1995

Earlier work this paper cites.

V. Gnedbaye, Les algèbres k k -aires el leurs opérads

1995

Earlier work this paper cites.

T. Lada and M. Markl, Strongly homotopy Lie algebras

1995

Earlier work this paper cites.

S. M. Kasymov, Analog of the Cartan criteria for n n -lie algebras

1995

Earlier work this paper cites.

J. A. de Azcárraga and J. M. Izquierdo, Lie groups, Lie algebras, cohomology and some applications in physics

1995

Earlier work this paper cites.

L. Takhtajan, A higher order analog of the Chevalley-Eilenberg complex and the deformation theory of n n -algebras

1995

Cited alongside, same era.

J. A. de Azcárraga, A. M. Perelomov and J. C. Pérez Bueno, The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures

1996

Cited alongside, same era.

P.W. Michor and A. M. Vinogradov, n n -ary Lie and associative algebras

1996

Cited alongside, same era.

S. Okubo and N. Kamiya, Jordan-Lie superalgebra and Jordan-Lie triple system

1996

Cited alongside, same era.

P. Gautheron, Some remarks concerning Nambu mehcanics

1996

Cited alongside, same era.

R. Chatterjee, Dynamical symmetries and Nambu mechanics

1996

Cited alongside, same era.

I. Vaisman, A survey on Nambu-Poisson brackets

1999

Later among the works it cites.

P.W. Michor and A. M. Vinogradov, A note on n n -ary Poisson brackets

2000

Later among the works it cites.

J. A. de Azcárraga, J. M. Izquierdo and J. C. Pérez Bueno, An introduction to some novel applications of Lie algebra cohomology in mathematics and physics

2001

Later among the works it cites.

J. M. Casas, J.-L. Loday and T. Pirashvili, Leibniz n n -algebras

2002

Later among the works it cites.

S. Okubo, Construction of Lie superalgebras from triple product systems

2003

Later among the works it cites.

T. Curtright, C. K. Zachos, Classical and quantum Nambu mechanics

2003

Later among the works it cites.