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We classify simple linearly compact n-Lie superalgebras with n>2 over a field F of characteristic 0.
A Jordan-Hölder decomposition for a certain class of infinite-dimensional Lie algebras,
V. W. Guillemin · 1968
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A theorem of Cartan and Guillemin,
R. J. Blattner · 1970
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Generalized Hamiltonian mechanics,
Y. Nambu · 1973
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Lie superalgebras,
V. G. Kac · 1977
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n n -Lie algebras,
V. T. Filippov · 1985
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The Lie algebra structure of tangent cohomology and deformation theory,
M. Schlessinger, J. D. Stasheff · 1985
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On the theory of n n -Lie algebras,
S. M. Kasymov · 1987
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On nil-elements and nil-subsets of n n -Lie algebras,
S. M. Kasymov · 1991
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On the structure of n n -Lie algebras,
W. X. Ling · 1993
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On foundations of generalized Nambu mechanics,
L. Takhtajan · 1994
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n n -ary Lie and associative algebras,
P. W. Michor, A. M. Vinogradov · 1996
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On n n -Lie algebras of Jacobians,
V. T. Filippov · 1998
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Classification of infinite-dimensional simple linearly compact Lie superalgebras,
V. G. Kac · 1998
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Identities and derivations for Jacobian algebras,
Classification of finite simple Lie conformal superalgebras,
D. Fattori, V. G. Kac · 2002
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Representations of vector product n-Lie algebras,
A. S. Dzhumadildaev · 2004
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n n -Lie structures that are generated by Wronskians,
A. S. Dzhumadildaev · 2005
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Infinite-dimensional primitive linearly compact Lie superalgebras,
N. Cantarini, V. Kac · 2006
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Automorphisms and forms of simple infinite-dimensional linearly compact Lie superalgebras,
N. Cantarini, V. Kac · 2006
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n n -Lie property of Jacobian as a complete integrability condition,
A. S. Dzhumadildaev · 2006
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A. S. Dzhumadildaev · 2002
Cited alongside, same era.
Classification of linearly compact simple rigid superalgebras,
N. Cantarini, V. Kac
Cited in the paper.
Three lectures on 3 3 -algebras,
J. Figueroa-O’Farrill
Cited in the paper.
Orbifold singularities, the LATKe, and pure Yang-Mills with matter
T. Friedmann
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Superpotentials for superconformal ChernSimons theories from representation theory,
P. de Medeiros, J. Figueroa-OFarrill, E. Méndez-Escobar,
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Classification of linearly compact simple Jordan and generalized Poisson superalgebras,
N. Cantarini, V. Kac · 2007
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