TENSOR TRIANGULATED GEOMETRY FOR CLASSICAL LIE SUPERALGEBRAS
BRIAN D. BOE, JONATHAN R. KUJAWA, AND DANIEL K. NAKANO
Abstract. Tensor triangulated geometry as introduced by Balmer [Bal05] 
is a powerful idea which can be used to extract the ambient geometry 
from a given tensor triangulated category. In this paper we provide a 
general setting for a compactly generated tensor triangulated category 
which enables one to classify thick tensor ideals and the Balmer spectrum. 
For a classical Lie superalgebra g = g ̄0 ⊕ g ̄1, we construct a Zariski 
space from a detecting subalgebra of g and demonstrate that this topological 
space governs the tensor triangulated geometry for the category of finite 
dimensional g-modules which are semisimple over g ̄0.