The −+ and −+ constructions for biset functors
Copyright policy )The −+ and −+ constructions for biset functors
In this article we define the $-_+$-construction and the $-^+$-construction, that was crucial in the theory of canonical induction formulas (see \cite{Boltje1998b}), in the setting of biset functors, thus providing the necessary framework to define and construct canonical induction formulas for representation rings that are most naturally viewed as biset functors. Additionally, this provides a unified approach to the study of a class of functors including the Burnside ring, the monomial Burnside ring and global representation ring.
21 pages
- University of California, San Francisco United States
- Department of Mathematics
- University of California, Santa Cruz United States
- National Autonomous University of Mexico Mexico
- University of California System United States
Monomial Burnside ring, Frobenius induction, Burnside and representation rings, Ordinary representations and characters, global representation ring, Biset functors, 20C15, General Mathematics, Modular representations and characters, monomial Burnside ring, 19A22, math.RT, Pure Mathematics, biset functors, Global representation ring, 19A22, 20C15, 20C20, Canonical induction formula, Burnside ring, FOS: Mathematics, canonical induction formula, Representation Theory (math.RT), Mathematics - Representation Theory, 20C20
Monomial Burnside ring, Frobenius induction, Burnside and representation rings, Ordinary representations and characters, global representation ring, Biset functors, 20C15, General Mathematics, Modular representations and characters, monomial Burnside ring, 19A22, math.RT, Pure Mathematics, biset functors, Global representation ring, 19A22, 20C15, 20C20, Canonical induction formula, Burnside ring, FOS: Mathematics, canonical induction formula, Representation Theory (math.RT), Mathematics - Representation Theory, 20C20
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