On rings and categories of general representations

Abstract

In this note we show that similar to the classical case the ring of representations of symmetric groups in a tensor derived category is certain ring of symmetric functions. We also show that in the general setting considered here, the Adams operations compute the characteristic series associated to powers of endomorphisms.

14 pages, no figure; Minor clarifications of a few sentences, added missed notation

Cited by in corpus (1)

• Intersection cohomology of moduli spaces of sheaves on surfaces