We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.RA
< prev | next >
new | recent | 2403

Change to browse by:

math
math.GR
math.RT

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Rings and Algebras

Title: Global Representation Ring and Knutson Index

Authors: Dylan Johnston, Diego Martin Duro, Dmitriy Rumynin
(Submitted on 27 Mar 2024)
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.
Comments: 11 pages, 2 tables
Subjects: Rings and Algebras (math.RA); Group Theory (math.GR); Representation Theory (math.RT)
MSC classes: 19A22, 13E15, 20D20
Cite as: arXiv:2403.18498 [math.RA]
  (or arXiv:2403.18498v1 [math.RA] for this version)

Submission history

From: Dylan Johnston Mr [view email]
[v1] Wed, 27 Mar 2024 12:19:57 GMT (18kb)
Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

Link back to: arXiv, form interface, contact.