DOI: 10.4213/sm9880e ISSN: 1064-5616
Dual exceptional collections on Lagrangian Grassmannians
Anton Vyacheslavovich Fonarev- Algebra and Number Theory
We construct graded left dual exceptional collections to the exceptional collections generating the Kuznetsov-Polishchuk blocks on Lagrangian Grassmannians. As an application, we find explicit resolutions for some natural irreducible equivariant vector bundles. Bibliography: 13 titles.