Geodesic
Extending Generalized Spin Representations
Robin Lautenbacher1 ; Ralf Köhl2
1Institut für Theoretische Physik, Fachbereich 7, J.-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Giessen, Germany
2Mathematisches Institut, Fachbereich 7, J.-Liebig-Universität, Arndtstrasse 2, 35392 Giessen, Germany
Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 915-940

Voir la notice de l'article provenant de la source Heldermann Verlag

We revisit the construction of higher spin representations by Kleinschmidt and Nicolai for E10, generalize it to arbitrary simply laced types, and provide a coordinate-free approach to the (3/2)-spin and (5/2)-spin representations. Moreover, we discuss the relationship between our findings and the representation theory of Sym3 pointed out to us by Levy.
Classification : 17B67, 81R10
Mots-clés : Simply laced real Kac-Moody algebra, spin representation

Robin Lautenbacher  1   ; Ralf Köhl  2

1 Institut für Theoretische Physik, Fachbereich 7, J.-Liebig-Universität, Heinrich-Buff-Ring 16, 35392 Giessen, Germany
2 Mathematisches Institut, Fachbereich 7, J.-Liebig-Universität, Arndtstrasse 2, 35392 Giessen, Germany 
Robin Lautenbacher; Ralf Köhl. Extending Generalized Spin Representations. Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 915-940. http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a2/
@article{JOLT_2018_28_4_a2,
     author = {Robin Lautenbacher and Ralf K\"ohl},
     title = {Extending {Generalized} {Spin} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {915--940},
     year = {2018},
     volume = {28},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a2/}
}
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