Geodesic
Hopf structure in Nambu–Lie $n$-algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 87-93 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We define and study the Hopf structures in the ternary (and $n$-ary) Nambu–Lie algebra. The fundamental concepts of 3-coalgebra, 3-bialgebra, and Hopf 3-algebra are introduced. Some examples of the Hopf structures are analyzed. 
@article{TMF_1998_114_1_a2,
     author = {R. Muradian and A. E. Santana},
     title = {Hopf structure in {Nambu{\textendash}Lie} $n$-algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {87--93},
     year = {1998},
     volume = {114},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a2/}
}
TY  - JOUR
AU  - R. Muradian
AU  - A. E. Santana
TI  - Hopf structure in Nambu–Lie $n$-algebras
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 87
EP  - 93
VL  - 114
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a2/
LA  - ru
ID  - TMF_1998_114_1_a2
ER  - 
%0 Journal Article
%A R. Muradian
%A A. E. Santana
%T Hopf structure in Nambu–Lie $n$-algebras
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 87-93
%V 114
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a2/
%G ru
%F TMF_1998_114_1_a2
R. Muradian; A. E. Santana. Hopf structure in Nambu–Lie $n$-algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 87-93. http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a2/

[1] Y. Nambu, Phys. Rev. D, 7 (1973), 2405–2412 | DOI | MR | Zbl

[2] F. Bayen, M. Flato, Phys. Rev. D, 11 (1975), 3049–3052 | DOI | MR

[3] G. J. Ruggeri, Lett. Nuovo Cim., 17 (1976), 169–171 | DOI | MR

[4] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerovicz, D. Sternheimer, Ann. Phys., 110 (1978), 67–110, 111–151 | MR

[5] G. Dito, M. Flato, D. Sternheimer, L. Takhtajan, Commun. Math. Phys., 183 (1997), 1–22 | DOI | MR | Zbl

[6] G. Dito, M. Flato, Lett. Math. Phys., 39 (1997), 107–125 | DOI | MR | Zbl

[7] L. A. Takhtajan, Commun. Math. Phys., 160 (1994), 295–315 | DOI | MR | Zbl

[8] L. A. Takhtadzhyan, Algebra i analiz, 6:2 (1994), 262–272 | MR | Zbl

[9] R. Chatterjee, L. Takhtajan, Lett. Math. Phys., 37 (1996), 475–482 | DOI | MR | Zbl

[10] H. Q. Plácido, R. Bunchaft, A. E. Santana, Hadronic J., 15 (1992), 225–238 | MR | Zbl

[11] D. Sahoo, M. C. Valsakumar, Mod. Phys. Lett., 9 (1994), 2727–2732 | DOI | MR | Zbl

[12] P. Gautheron, Lett. Math. Phys., 37 (1996), 103–116 | DOI | MR | Zbl

[13] A. E. Santana, T. Kopf, F. C. Khanna, “Hopf algebras, Lie symmetries and thermal field theories”, Proceedings of Lake Louise International Conference on High Energy Physics, Canada, 1997 (to appear) | MR

[14] J. Madore, Introduction to Noncommutative Geometry and its Applications, Cambridge University Press, Cambridge, 1995 | MR | Zbl