If for a vector space V of dimension g over a characteristic zero field we denote by Lambda V-i its alternating powers, and by V-v its linear dual, then there are natural Poincare isomorphisms: Lambda V-i(v )congruent to Lambda Vg-i. We describe an analogous result for objects in rigid pseudo-abelian Q-linear ACU tensor categories
Poincaré duality isomorphisms in tensor categories / M. Masdeu, M.A. Seveso. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 222:10(2018 Oct), pp. 3075-3123. [10.1016/j.jpaa.2017.11.015]
Poincaré duality isomorphisms in tensor categories
M.A. Seveso
2018
Abstract
If for a vector space V of dimension g over a characteristic zero field we denote by Lambda V-i its alternating powers, and by V-v its linear dual, then there are natural Poincare isomorphisms: Lambda V-i(v )congruent to Lambda Vg-i. We describe an analogous result for objects in rigid pseudo-abelian Q-linear ACU tensor categoriesFile in questo prodotto:
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