7 citations · 13 across the 8 of their papers we have counts for
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Interpolating PBW Deformations for the Orthosymplectic Groups
Johannes Flake, Verity Mackscheidt
We propose to use interpolation categories to study PBW deformations, and demonstrate this idea for the orthosymplectic supergroups. Employing a combinatorial calculus based on pse…
Indecomposable objects in Khovanov-Sazdanovic's generalizations of Deligne's interpolation categories
Johannes Flake, Robert Laugwitz, Sebastian Posur
Khovanov and Sazdanovic recently introduced symmetric monoidal categories parameterized by rational functions and given by quotients of categories of two-dimensional cobordisms. Th…
The indecomposable objects in the center of Deligne's category
Johannes Flake, Nate Harman, Robert Laugwitz
We classify the indecomposable objects in the monoidal center of Deligne's interpolation category by viewing as a model-theoretic limit in rank and characteri…
Semisimplicity and Indecomposable Objects in Interpolating Partition Categories
Johannes Flake, Laura Maassen
We study Karoubian tensor categories which interpolate representation categories of families of so-called easy quantum groups in the same sense in which Deligne's interpolation cat…
Gröbner bases for fusion products
Johannes Flake, Ghislain Fourier, Viktor Levandovskyy
We provide a new approach towards the analysis of the fusion products defined by B.~Feigin and S.~Loktev in the representation theory of (truncated) current Lie algebras. We unders…
On the Monoidal Center of Deligne's Category Rep(S_t)
Johannes Flake, Robert Laugwitz
We explicitly compute a monoidal subcategory of the monoidal center of Deligne's interpolation category Rep(S_t), for t not necessarily a natural number, and we show that this subc…
Barbasch-Sahi algebras and Dirac cohomology
Johannes Flake
We define a class of algebras which are distinguished by a PBW property and an orthogonality condition, and which we call Hopf-Hecke algebras, since they generalize the Drinfeld He…