3 papers
math.RT2025
A semisimple subcategory of Khovanov's Heisenberg category
Sam K. Miller
We show the existence of a semisimple replete subcategory of Khovanov's Heisenberg category that retains the isomorphism data of objects for the full category. This leads to a nonc…
math.CT2025
Re-framing the classification of ideals in noncommutative tensor-triangular geometry
Timothy De Deyn, Sam K. Miller
We prove that, given the Balmer spectrum of any essentially small monoidal-triangulated category, one has a classification of semiprime thick tensor-ideals arising in terms of a "p…
math.CT2025
On functoriality and the tensor product property in noncommutative tensor-triangular geometry
Sam K. Miller
Two pertinent questions for any support theory of a monoidal triangulated category are whether it is functorial and if the tensor product property holds. To this end, we consider t…