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Abstract:

In the course of investigating regular subalgebras of E10 (10) related to cosmological solutions of 11-dimensional supergravity supporting an electric 4-form field, a class of rank 10 Coxeter subgroups of the Weyl group of E10 (10) was uncovered (M. Henneaux, e-print hep-th/0606123). These Coxeter groups all share the property that their Coxeter graphs have incidence index 3, i.e., that each node is incident to three and only three single lines. Furthermore, the Coxeter exponents are either 2 or 3, but never ∞. We here go beyond subgroups of the Weyl group of E10 (10) and classify all rank 10 Coxeter groups with these properties. We find 21 distinct Coxeter groups of which 7 were already described by M. Henneaux, (e-print hep-th/0606123). Moreover, we extend the classification to the rank 11 case and we find 252 inequivalent rank 11 Coxeter groups with incidence index 4, of which at least 28 can be regularly embedded into E11 (11). © 2007 American Institute of Physics.

Registro:

Documento: Artículo
Título:A special class of rank 10 and 11 Coxeter groups
Autor:Henneaux, M.; Leston, M.; Persson, D.; Spindel, P.
Filiación:Physique Théorique et Mathématique, Université Libre de Bruxelles, International Solvay Institutes, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile
Instituto de Astronomica y Fisica del Espacio (IAFE), Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina
Theoretische Naturkunde, Vrije Universiteit Brussel, International Solvay Institutes, Pleinlaan 2, B-1050 Brussels, Belgium
Université de Mons-Hainaut, Académie Wallonie-Bruxelles, Avenue du Champ de Mars 6, 7000 Mons, Belgium
Año:2007
Volumen:48
Número:5
DOI: http://dx.doi.org/10.1063/1.2738754
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v48_n5_p_Henneaux

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Citas:

---------- APA ----------
Henneaux, M., Leston, M., Persson, D. & Spindel, P. (2007) . A special class of rank 10 and 11 Coxeter groups. Journal of Mathematical Physics, 48(5).
http://dx.doi.org/10.1063/1.2738754
---------- CHICAGO ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. "A special class of rank 10 and 11 Coxeter groups" . Journal of Mathematical Physics 48, no. 5 (2007).
http://dx.doi.org/10.1063/1.2738754
---------- MLA ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. "A special class of rank 10 and 11 Coxeter groups" . Journal of Mathematical Physics, vol. 48, no. 5, 2007.
http://dx.doi.org/10.1063/1.2738754
---------- VANCOUVER ----------
Henneaux, M., Leston, M., Persson, D., Spindel, P. A special class of rank 10 and 11 Coxeter groups. J. Math. Phys. 2007;48(5).
http://dx.doi.org/10.1063/1.2738754