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Global Representation Ring and Knutson Index by Johnston, Dylan; Duro, Diego Martín; Rumynin, Dmitriy is a scholarly article available to read on EtoBox.

What is Global Representation Ring and Knutson Index about?

Global representation rings were discovered by Sarah Witherspoon in 1995 and the Knutson Index was introduced by the second author in 2022. In the present paper we introduce the Knutson Index for general commutative rings and 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. We discuss what properties of a group can be recovered from its global table.

Author

Johnston, Dylan; Duro, Diego Martín; Rumynin, Dmitriy

Published

2024

Language

EN