141 citations · 314 across the 34 of their papers we have counts for
5 papers · 1 filter
Semisimplification of contragredient Lie algebras
Iván Angiono, Julia Plavnik, Guillermo Sanmarco
We describe the structure and different features of Lie algebras in the Verlinde category, obtained as semisimplification of contragredient Lie algebras in characteristic with…
On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4
Akshaya Chakravarthy, Agustina Czenky, Julia Plavnik
We contribute to the classification of modular categories with . We prove that such categories have group of invert…
Support varieties for finite tensor categories: the tensor product property
Petter Andreas Bergh, Julia Yael Plavnik, Sarah Witherspoon
We show that in a finite tensor category, the tensor product property holds for support varieties if and only if it holds between indecomposable periodic objects. We apply this to…
Classification of low-rank odd-dimensional modular categories
Agustina Czenky, William Gvozdjak, Julia Plavnik
We prove that any odd-dimensional modular category of rank at most 23 is pointed. We also show that an odd-dimensional modular category of rank 25 is either pointed, perfect, or eq…
Tambara-Yamagami Categories over the Reals: The Non-Split Case
Julia Plavnik, Sean Sanford, Dalton Sconce
Tambara and Yamagami investigated a simple set of fusion rules with only one non-invertible object, and proved under which circumstances those rules could be given a coherent assoc…