3 papers
math.RA2024
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…
math.RT2020
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…
math.RT2018
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…