Voir la notice de l'article provenant de la source Cambridge University Press
Benkart, Georgia; Elduque, Alberto. Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3). Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 509-524. doi: 10.4153/CMB-2002-052-7
@article{10_4153_CMB_2002_052_7,
author = {Benkart, Georgia and Elduque, Alberto},
title = {Lie {Superalgebras} {Graded} by the {Root} {Systems} {C(n),} {D(m,} n), {D(2,} 1, \ensuremath{\alpha}), {F(4),} {G(3)}},
journal = {Canadian mathematical bulletin},
pages = {509--524},
year = {2002},
volume = {45},
number = {4},
doi = {10.4153/CMB-2002-052-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-052-7/}
}
TY - JOUR AU - Benkart, Georgia AU - Elduque, Alberto TI - Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3) JO - Canadian mathematical bulletin PY - 2002 SP - 509 EP - 524 VL - 45 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-052-7/ DO - 10.4153/CMB-2002-052-7 ID - 10_4153_CMB_2002_052_7 ER -
%0 Journal Article %A Benkart, Georgia %A Elduque, Alberto %T Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3) %J Canadian mathematical bulletin %D 2002 %P 509-524 %V 45 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-052-7/ %R 10.4153/CMB-2002-052-7 %F 10_4153_CMB_2002_052_7
[AABGP] [AABGP] Allison, B. N., Azam, S., Berman, S., Gao, Y. and Pianzola, A., Extended Affine Lie Algebras and Their Root Systems. Mem. Amer.Math. Soc. (126) 603(1997). Google Scholar
[ABG1] [ABG1] Allison, B. N., Benkart, G., Gao, Y., Central extensions of Lie algebras graded by finite root systems. Math. Ann. 316 (2000), 499–527. Google Scholar
[ABG2] [ABG2] Allison, B. N., Benkart, G. and Gao, Y., Lie Algebras Graded by the Root Systems BCr , r ≥ 2. Mem. Amer.Math. Soc. (158) 751 Providence, R.I., 2002. Google Scholar
[BE1] [BE1] Benkart, G. and Elduque, A., Lie superalgebras graded by the root system B(m, n). Submitted, Jordan preprint archive: http://mathematik.uibk.ac.at/jordan/ (paper 108). Google Scholar
[BE2] [BE2] Benkart, G. and Elduque, A., Lie superalgebras graded by the root system A(m, n). Submitted, Jordan preprint archive: http://mathematik.uibk.ac.at/jordan/ (paper 124). Google Scholar
[BS] [BS] Benkart, G. and Smirnov, O., Lie algebras graded by the root system BC . J. Lie Theory, to appear. Google Scholar
[BZ] [BZ] Benkart, G. and Zelmanov, E., Lie algebras graded by finite root systems and intersection matrix algebras. Invent.Math. 126 (1996), 1–45. Google Scholar
[BM] [BM] Berman, S. and Moody, R. V., Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy. Invent.Math. 108 (1992), 323–347. Google Scholar
[B] [B] Bourbaki, N., Groupes et Algèbres de Lie. Élements de Mathématique XXXIV, Hermann, Paris, 1968. Google Scholar
[GN] [GN] García, E. and Neher, E., Jordan superpairs covered by grids and their Tits-Kantor-Koecher superalgebras. preprint, 2001. Google Scholar
[IK] [IK] Iohara, K. and Koga, Y., Central extensions of Lie superalgebras. Comment. Math. Helv. 76 (2001), 110–154. Google Scholar
[K1] [K1] Kac, V. G., Lie superalgebras. Adv. in Math. 26 (1977), 8–96. Google Scholar
[K2] [K2] Kac, V. G., Representations of classical superalgebras. Differential and Geometrical Methods in Math. Physics II, Lecture Notes in Math. 676, Springer-Verlag, Berlin, Heidelberg, New York, 1978, 599–626. Google Scholar
[LS] [LS] Lee Shader, C., Typical representations for orthosymplectic Lie superalgebras. Comm. Algebra 28 (2000), 387–400. Google Scholar
[N] [N] Neher, E., Lie algebras graded by 3-graded root systems. Amer. J. Math. 118 (1996), 439–491. Google Scholar
[S] [S] Slodowy, P., Beyond Kac-Moody algebras and inside. Lie Algebras and Related Topics, Canad. Math. Soc. Conf. Proc. 5, (eds., Britten, Lemire, Moody), 1986, 361–371. Google Scholar
Cité par Sources :