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math.RT2024
Disconnected Reductive Groups: Classification and Representations
Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin
In this article, we classify (up to isomorphism) disconnected reductive groups over an algebraically closed field. For the fixed dimension and number of components, our results sho…
math.RA2024
Global Representation Ring and Knutson Index
Dylan Johnston, Diego Martín Duro, Dmitriy Rumynin
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 Kn…