Anti-involutions on Green biset functors
Robert Boltje, Benjam\'in Garc\'ia
TL;DR
This paper introduces the concept of anti-involutions for Green biset functors, providing equivalent definitions and exploring their properties, including orthogonal units and automorphisms.
Contribution
It defines anti-involutions on Green biset functors and analyzes their structure, which is a novel theoretical development in the field.
Findings
Defined anti-involutions for Green biset functors
Characterized $oldsymbol{ ext{ extsterling}}$-Green biset functors
Studied orthogonal units and automorphisms
Abstract
In this article, we propose a concept of anti-involution for Green biset functors and we provide equivalent definitions. We present -Green biset functors and we study their orthogonal units and the orthogonal automorphisms in their associated categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra