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math.CT2023
A Chinese remainder theorem and Carlson's theorem for monoidal triangulated categories
Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov
In this paper the authors prove fundamental decomposition theorems pertaining to the internal structure of monoidal triangulated categories (MCs). The tensor structure of an M$Δ…
math.CT2023
Group actions on monoidal triangulated categories and Balmer spectra
Hongdi Huang, Kent B. Vashaw
Let be a group acting on a left or right rigid monoidal triangulated category which has a Noetherian Balmer spectrum. We prove that the Balmer spectrum of the cro…
math.RT2023
On the decomposition of tensor products of monomial modules for finite 2-groups
George Cao, Kent B. Vashaw
Dave Benson conjectured in 2020 that if is a finite -group and is an odd-dimensional indecomposable representation of over an algebraically closed field of c…