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Mathematics > Rings and Algebras
Title: Global Representation Ring and Knutson Index
(Submitted on 27 Mar 2024 (this version), latest version 3 May 2024 (v3))
Abstract: We follow on from the pioneering paper by the second author where he introduced the Knutson index for the character ring of a finite group. We introduce the Knutson index for general commutative rings. Then we study it for Burnside rings and global representation rings. We also introduce the global table of a finite group, that encompasses both the character table and the Burnside table of marks.
Submission history
From: Dylan Johnston Mr [view email][v1] Wed, 27 Mar 2024 12:19:57 GMT (18kb)
[v2] Mon, 29 Apr 2024 11:03:03 GMT (19kb)
[v3] Fri, 3 May 2024 10:17:58 GMT (21kb)
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