Journal of Lie Theory

no. 4
Extending Generalized Spin Representations
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 
@article{JOLT_2018_28_4_a2,
     author = {R. Lautenbacher and R. 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/}
}
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%A R. Köhl
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R. Lautenbacher; R. Köhl. Extending Generalized Spin Representations. Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 915-940. doi: 10.5802/jolt.1034

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