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Spin and wedge representations of infinite-dimensional Lie algebras and groups

We suggest a purely algebraic construction of the spin representation of an infinite-dimensional orthogonal Lie algebra (sections 1 and 2) and a corresponding group (section 4). From this we deduce a construction of all level-one highest-weight representations of orthogonal affine Lie algebras in te...

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Kac, Victor G., Peterson, Dale H.
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 1981
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC319557/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593029/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.78.6.3308
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