Year: 2014
Type: preprint
Abstract: If for a vector space V of dimension g over a characteristic zero field we denote by $\wedge^iV$ its alternating powers, and by $V^\vee$ its linear dual, then there are natural Poincaré isomorphisms: $\wedge^i V^\vee \cong \wedge^{g-i} V$. We describe an analogous result for objects in rigid pseudo-abelian $\mathbb{Q}$-linear ACU tensor categories.
Source: arXiv (Cornell University)
Authors: Masdeu, Marc, Seveso, Marco A.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952532840