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math.RT2025
Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences
Xin Huang, Deniz Yılmaz
We show that functorial equivalences can offer new insight into the blockwise Galois Alperin weight conjecture (BGAWC). Inspired by Knörr and Robinson's work, we first formulate th…
math.RT2025
Functorial equivalence classes of -blocks of tame representation type
Robert Boltje, Serge Bouc, Deniz Yılmaz
For any block of a finite group over an algebraically closed field of characteristic which has dihedral, semidihedral, or generalized quaternion defect groups, we determine exp…
math.RT2025
On Alperin's conjecture and functorial equivalence of blocks
Robert Boltje, Serge Bouc, Deniz Yılmaz
Let be an algebraically closed field of positive characteristic and let be an algebraically closed field of characteristic 0. We consider Alperin's weight conj…