The Character Theory of Finite Groups of Lie Type
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Publication:5213796
DOI10.1017/9781108779081OpenAlexW4211003698MaRDI QIDQ5213796
Publication date: 4 February 2020
Full work available at URL: https://doi.org/10.1017/9781108779081
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Linear algebraic groups and related topics (20Gxx) Representation theory of groups (20Cxx)
Related Items (48)
Restrictions of irreducible characters of finite groups of Lie type to derived subgroups and regular semisimple elements ⋮ Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes ⋮ SYLOW CLASSES OF REFLECTION SUBGROUPS AND PSEUDO-LEVI SUBGROUPS ⋮ Alperin weight conjecture and related developments ⋮ Galois-equivariant McKay bijections for primes dividing \(q - 1\) ⋮ Unisingular representations of finite symplectic groups ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ Characters of \(\pi'\)-degree and small cyclotomic fields ⋮ THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME ⋮ LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS ⋮ The decomposition of Lusztig induction in classical groups ⋮ On the inductive McKay-Navarro condition for finite groups of Lie type in their defining characteristic ⋮ Principal blocks for different primes. I ⋮ COHOMOLOGY OF THE BRUHAT–TITS STRATA IN THE UNRAMIFIED UNITARY RAPOPORT–ZINK SPACE OF SIGNATURE ⋮ Acceptability of classical groups in non-zero characteristic ⋮ The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers ⋮ On the degrees of irreducible characters fixed by some field automorphism in 𝑝-solvable groups ⋮ EXTENSIONS OF CHARACTERS IN TYPE D AND THE INDUCTIVE MCKAY CONDITION, I ⋮ On the generalised Springer correspondence for groups of type 𝐸₈ ⋮ CHARACTER STACKS ARE PORC COUNT ⋮ Projective indecomposable permutation modules ⋮ Families of ϕ‐congruence subgroups of the modular group ⋮ Algebraic groups over finite fields: connections between subgroups and isogenies ⋮ Minimal heights and defect groups with two character degrees ⋮ The fields of values of the height zero characters ⋮ Height zero conjecture with Galois automorphisms ⋮ Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠 ⋮ The character table of the finite Chevalley group \(F_4(q)\) for \(q\) a power of \(2\) ⋮ Counting conjectures and \(e\)-local structures in finite reductive groups ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ On unipotent representations of ramified 𝑝-adic groups ⋮ The continuity of 𝑝-rationality and a lower bound for 𝑝’-degree characters of finite groups ⋮ Characters of prime power degree in principal blocks ⋮ Galois automorphisms and classical groups ⋮ Principal blocks with distinct character degrees ⋮ Computational group theory. Abstracts from the workshop held August 15--21, 2021 (hybrid meeting) ⋮ Height zero characters in principal blocks ⋮ Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture ⋮ On Willems' conjecture on Brauer character degrees ⋮ On \(e\)-cuspidal pairs of finite groups of exceptional Lie type ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ Low-dimensional representations of finite orthogonal groups ⋮ A note on sign of a self-dual representation ⋮ Principal blocks with 5 irreducible characters ⋮ The fields of values of characters of degree not divisible byp ⋮ On induction of class functions ⋮ Harish-Chandra cuspidal pairs ⋮ On almost \(p\)-rational characters of \(p^{\prime}\)-degree
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