Journal of Lie Theory

no. 4
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, Volume 28 (2018) no. 4, pp. 915-940
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.
DOI: 10.5802/jolt.1034
Classification: 17B67, 81R10
Keywords: 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, Volume 28 (2018) no. 4, pp. 915-940. doi: 10.5802/jolt.1034
@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},
     doi = {10.5802/jolt.1034},
     zbl = {1440.17018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1034/}
}
TY  - JOUR
AU  - Robin Lautenbacher
AU  - Ralf Köhl
TI  - Extending Generalized Spin Representations
JO  - Journal of Lie Theory
PY  - 2018
SP  - 915
EP  - 940
VL  - 28
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1034/
DO  - 10.5802/jolt.1034
ID  - JOLT_2018_28_4_a2
ER  - 
%0 Journal Article
%A Robin Lautenbacher
%A Ralf Köhl
%T Extending Generalized Spin Representations
%J Journal of Lie Theory
%D 2018
%P 915-940
%V 28
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1034/
%R 10.5802/jolt.1034
%F JOLT_2018_28_4_a2

Cited by Sources: