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- W3006494375 abstract "The main result here gives an algebra(/linear category) isomorphism between a geometrically defined subcategory $J^1_0$ of a short Brauer category $J_0$ and a certain one-parameter specialisation of the blob category $b$. That is, we prove the Conjecture in Remark 6.7 of [14]. We also define a sequence of generalisations $J^i_{i-1}$ of the category $J^1_0$. The connection of $J_0$ with the blob category inspires a search for connections also with its beautiful representation theory. Here we obtain formulae determining the non-semisimplicity condition (generalising the classical `root-of-unity' condition)." @default.
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- W3006494375 date "2020-02-13" @default.
- W3006494375 modified "2023-09-27" @default.
- W3006494375 title "Geometric partition categories: On short Brauer algebras and their blob subalgebras" @default.
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