ProV Logo
0
Tensor Triangular Geometry for Classical...
Boe, Brian D....

Free

Tensor Triangular Geometry for Classical Lie Superalgebras by Boe, Brian D. ( Author )
Lemonjar Open Access
Australian National University
01-09-2023
Tensor triangular geometry as introduced by Balmer 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 ${\mathfrak g}={\mathfrak g}_{\bar{0}}\oplus {\mathfrak g}_{\bar{1}}$, we construct a Zariski space from a detecting subalgebra of ${\mathfrak g}$ and demonstrate that this topological space governs the tensor triangular geometry for the category of finite dimensional ${\mathfrak g}$-modules which are semisimple over ${\mathfrak g}_{\bar{0}}$.
-
Article
pdf
29.34 KB
English
-
MYR 0.01
-
http://arxiv.org/abs/1402.3732
Share this eBook