Characters of odd degree
By Gunter Malle, Britta Spath. 2015
98 citations recorded by the source corpus.
We prove the McKay conjecture on characters of odd degree. A major step in the proof is the verification of the inductive McKay condition for groups of Lie type and primes $\ell$ such that a Sylow $\ell$-subgroup or its maximal normal abelian subgroup is contained in a maximally split torus by means of a new equivariant version of Harish-Chandra induction. Specifics of characters of odd degree, namely that they only lie in very particular Harish-Chandra series then allow us to deduce from it the McKay conjecture for the prime~$2$, hence for characters of odd degree.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5756eeda95b2338096051ee0dc36c6e8d3891fb7
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Action of automorphisms on irreducible characters of symplectic groups (2016, background): “w outline our strategy for proving Theorem 1.6. The series E(GF,s)is broken up into a disjoint union of Harish-Chandra series. As part of their proof of the McKay conjecture for odd degree characters [MS16] Malle and Spa¨th have shown how to describe the action of σ on the constituents of a Harish-C”