Stratifying the derived category of cochains on BG for G a compact Lie group

Autores: David Benson, John P. C. Greenlees
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 4, 2014, págs. 642-650
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.08.004
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Resumen
- The main purpose of this paper is to classify the localising subcategories of the derived category D(C.(BG; k)) where G is a compact Lie group and k is a field. We also prove a version of Chouinard¡¯s theorem for D(C.(BG; k)), we describe the relationship between induction and coinduction for a closed subgroup of G, and we use this to describe the relationship between Hochschild homology and cohomology of C.(BG; k).