Orthogonal roots, Macdonald representations, and quasiparabolic sets

Let W be a simply laced Weyl group of finite type and rank n. If W has type $E_7$ , $E_8$ or $D_n$ for n even, then the root system of W has subsystems of type $nA_1$ . This gives rise to an irreducible Macdonald representation of W spanned by n-roots, which are products of...

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Bibliographic Details
Main Authors: R. M. Green, Tianyuan Xu
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425100650/type/journal_article
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