Adams operations and symmetries of representation categories
نویسندگان
چکیده
Adams operations are the natural transformations of representation ring functor on category finite groups, and they one way to describe usual lambda-ring structure these rings. From representation-theoretical point view, codify some symmetric monoidal category. We show that alone, regardless particular symmetry, determines all odd operations. On other hand, we give examples equivalences do not have preserve second be symmetric. Along way, classify possible symmetries autoequivalences categories groups.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2021
ISSN: ['1943-5258', '0022-2518', '1943-5266']
DOI: https://doi.org/10.1512/iumj.2021.70.8377