Citation: | BAI Ruipu, MA Yue. Modules and induced modules of 3-Lie algebra Aω δ[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 8-16. doi: 10.3969/j.issn.1000-5641.2021.03.002 |
[1] |
FILIPPOV V. n-Lie algebras [J]. Siberian Mathematical Journal, 1985, 26(6): 126-140.
|
[2] |
BAI R P, WU Y. Constructions of 3-Lie algebras [J]. Linear Multilinear Algebra, 2015, 63(11): 2171-2186. doi: 10.1080/03081087.2014.986121
|
[3] |
AZCARRAGA J A, IZQUIERDO J M. n-ary algebras: A review with applications [J]. Journal of Physics A: Mathematical and Theoretical, 2010, 43(29): 293001.
|
[4] |
SHENG Y, TANG R. Symplectic, product and complex structures on 3-Lie algebras [J]. Journal of Algebra, 2018, 508: 256-300. doi: 10.1016/j.jalgebra.2018.05.005
|
[5] |
BAGGER J, LAMBERT N. Gauge symmetry and supersymmetry of multiple M2-branes [J]. Physical Review D: Particles Fields, 2008, 77(6): 215-240.
|
[6] |
DEBELLIS J, SAEMANN C, SZABO R J. Quantized Nambu-Poisson manifolds and n-Lie algebras [J]. Journal of Mathematical Physics, 2010, 51(12): 153-306.
|
[7] |
GUATAVSSON A. Algebraic structures on parallel M2 branes [J]. Nuclear Physics B, 2009, 811(1/2): 66-76. doi: 10.1016/j.nuclphysb.2008.11.014
|
[8] |
NAMBU Y. Generalized Hamiltonian Dynamics [J]. Physical Review D: Particles Fields, 1999, 7(8): 2405-2412.
|
[9] |
TAKHTAJAN L. On foundation of the generalized Nambu mechanics [J]. Communications in Mathematical Physics, 1994, 160(2): 295-315. doi: 10.1007/BF02103278
|
[10] |
GAUTHERON P. Some remarks concerning Nambu mechanics [J]. Letters in Mathematical Physics, 1996, 37(1): 103-116. doi: 10.1007/BF00400143
|
[11] |
BAI R P, BAI C M, WANG J X. Realizations of 3-Lie algebras [J]. Journal of Mathematical Physics, 2010, 51(6): 063505. doi: 10.1063/1.3436555
|
[12] |
BAI R, LI Z H, WANG W D. Infinite-dimensional 3-Lie algebras and their connections to Harish-Chandra modules [J]. Frontiers of Mathematics in China, 2017, 12(3): 515-530. doi: 10.1007/s11464-017-0606-7
|
[13] |
KASYMOV S M. Theory of n-Lie algebras [J]. Algebra and Logic, 1987, 26(3): 155-166. doi: 10.1007/BF02009328
|
[14] |
LIU J, MAKHLOUF A, SHENG Y. A new approach to representations of 3-Lie algebras and abelian extensions [J]. Algebra Representation Theory, 2017, 20: 1415-1431. doi: 10.1007/s10468-017-9693-0
|