On the group attached to a special Weyl group representation

Let W be a Weyl group. In my 1984 book a group was attached to any special representation of W using the theory of Springer representations. In this paper we give a new definition of this group which is purely algebraic (no use of geometry is made).

Publication Details

Journal
ArXiv.org
Published
2025-04-30
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

On the group attached to a special Weyl group representation

ArXiv.org
Advanced Algebra and Geometry
article

On the group attached to a special Weyl group representation

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Abstract

Let W be a Weyl group. In my 1984 book a group was attached to any special representation of W using the theory of Springer representations. In this paper we give a new definition of this group which is purely algebraic (no use of geometry is made).

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Advanced Algebra and Geometry
Open Access PDFOpenAlex
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On the group attached to a special Weyl group representation · ArXiv.org (2025) | TGRS Research Map | TGRS