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• W3128879683 abstract "We consider the subalgebras of split real, non-twisted affine Kac-Moody Lie algebras that are fixed by the Chevalley involution. These infinite-dimensional Lie algebras are not of Kac-Moody type and admit finite-dimensional unfaithful representations. We exhibit a formulation of these algebras in terms of $mathbb{N}$-graded Lie algebras that allows the construction of a large class of representations using the techniques of induced representations. We study how these representations relate to previously established spinor representations as they arise in the theory of supergravity." @default.
• W3128879683 created "2021-02-15" @default.
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• W3128879683 date "2022-03-11" @default.
• W3128879683 modified "2023-09-26" @default.
• W3128879683 title "Representations of Involutory Subalgebras of Affine Kac–Moody Algebras" @default.
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• W3128879683 doi "https://doi.org/10.1007/s00220-022-04342-9" @default.
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