The extension algebra of some cohomological Mackey functors
Serge Bouc (LAMFA), Radu Stancu (LAMFA)

TL;DR
This paper introduces a new inflation functor for cohomological Mackey functors over finite groups and provides an explicit algebraic description of self-extensions for simple functors in specific cases.
Contribution
It develops a novel inflation functor and uses it to explicitly describe the extension algebra of simple cohomological Mackey functors for certain groups.
Findings
Constructed a new inflation functor for cohomological Mackey functors.
Provided an explicit presentation of the extension algebra for elementary abelian p-groups.
Focused on cases where p is odd and G is an elementary abelian p-group.
Abstract
Let be a field of characteristic . We construct a new inflation functor for cohomological Mackey functors for finite groups over . Using this inflation functor, we give an explicit presentation of the graded algebra of self extensions of the simple functor , when is odd and is an elementary abelian -group.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra
