Extending generalized spin representations

Abstract

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 Sym(3) pointed out to us by Levy.

References in corpus (2)

• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• On higher spin realizations of K(E10)

Cited by in corpus (1)

• Representations of involutory subalgebras of affine Kac-Moody algebras