A local-global principle for unipotent characters
D Rossi - Forum of Mathematics, Sigma, 2024 - cambridge.org
We obtain an adaptation of Dade's Conjecture and Späth's Character Triple Conjecture to
unipotent characters of simple, simply connected finite reductive groups of type-block B in …
unipotent characters of simple, simply connected finite reductive groups of type-block B in …
[HTML][HTML] Counting conjectures and e-local structures in finite reductive groups
D Rossi - Advances in Mathematics, 2024 - Elsevier
We prove new results in generalised Harish-Chandra theory providing a description of the
so-called Brauer–Lusztig blocks in terms of information encoded in the ℓ-adic cohomology of …
so-called Brauer–Lusztig blocks in terms of information encoded in the ℓ-adic cohomology of …
Inductive local-global conditions and generalized Harish-Chandra theory
D Rossi - arXiv preprint arXiv:2204.10301, 2022 - arxiv.org
We work towards a version of generalized Harish-Chandra theory compatible with Clifford
theory and with the action of automorphisms on irreducible characters. This provides a …
theory and with the action of automorphisms on irreducible characters. This provides a …