5 citations · 14 across the 7 of their papers we have counts for
7 papers
From the Albert algebra to Kac's ten-dimensional Jordan superalgebra via tensor categories in characteristic 5
Alberto Elduque, Pavel Etingof, Arun S. Kannan
Kac's ten-dimensional simple Jordan superalgebra over a field of characteristic 5 is obtained from a process of semisimplification, via tensor categories, from the exceptional simp…
Representation Stability and Finite Orthogonal Groups
Zifan Wang, Arun S. Kannan
In this paper, we prove stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and Sam (2017), we construct a category $\math…
Stable Centres II: Finite Classical Groups
Arun S. Kannan, Christopher Ryba
Farahat and Higman constructed an algebra interpolating the centres of symmetric group algebras by proving that the structure constants in these ri…
New Constructions of Exceptional Simple Lie Superalgebras with Integer Cartan Matrix in Characteristics 3 and 5 via Tensor Categories
Arun S. Kannan
Using tensor categories, we present new constructions of several of the exceptional simple Lie superalgebras with integer Cartan matrix in characteristic and from t…
Lectures on Symmetric Tensor Categories
Pavel Etingof, Arun S. Kannan
This is an expanded version of the notes by the second author of the lectures on symmetric tensor categories given by the first author at Ohio State University in March 2019 and la…
Characters for Projective Modules in the BGG Category for the Orthosymplectic Lie Superalgebra
Arun S. Kannan, Honglin Zhu
We determine the Verma multiplicities of standard filtrations of projective modules for integral atypical blocks in the BGG category for the orthosymplectic Lie super…
Characters for Projective Modules in the BGG Category O for General Linear Lie Superalgebras
Arun S. Kannan
We determine the Verma multiplicities and the characters of projective modules for atypical blocks in the BGG Category O for the general linear Lie superalgebras a…