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Lookup NU author(s): Dr James Waldron
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© 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.Let G be a finite group, (Formula presented.) a subgroup, R a commutative ring, A an R-algebra, and (Formula presented.) an action of G on A by R-algebra automorphisms. We study the associated skew Hecke algebra (Formula presented.) of H-invariant functions from (Formula presented.) to A, proving a number of common generalizations of results about skew group rings and about Hecke algebras of finite groups. We show that the construction is compatible with a number of group-theoretic and algebraic operations, and illustrate the main results for certain permutation actions on polynomial algebras.
Author(s): Waldron J, Loveridge LD
Publication type: Article
Publication status: Published
Journal: Communications in Algebra
Year: 2025
Issue: ePub ahead of Print
Online publication date: 30/04/2025
Acceptance date: 06/04/2025
ISSN (print): 0092-7872
ISSN (electronic): 1532-4125
Publisher: Taylor and Francis Ltd.
URL: https://doi.org/10.1080/00927872.2025.2492345
DOI: 10.1080/00927872.2025.2492345
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