53 citations · 162 across the 14 of their papers we have counts for
15 papers · 1 filter
Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture
Michael Larsen, Jay Taylor, Pham Tiep
For every integer there exists a bound such that if the characteristic polynomial of is the product of pairwise distinct monic ir…
Harish-Chandra Cuspidal Pairs
Jay Taylor
The irreducible characters of a finite reductive group are partitioned into Harish-Chandra series that are labelled by cuspidal pairs. In this note, we describe how one can algorit…
Unitriangular Shape of Decomposition Matrices of Unipotent Blocks
Olivier Brunat, Olivier Dudas, Jay Taylor
We show that the decomposition matrix of unipotent -blocks of a finite reductive group has a unitriangular shape, assuming is a power of a good…
Lusztig Induction, Unipotent Supports, and Character Bounds
Jay Taylor, Pham H. Tiep
Recently, a strong exponential character bound has been established in [3] for all elements of a finite reductive group which satisfy the condit…
Principal -Blocks and Sylow -Subgroups
A. A. Schaeffer Fry, Jay Taylor
Let be a finite group with Sylow -subgroup . Navarro-Tiep-Vallejo have conjectured that the principal -block of contains exactly one irreducible B…
The Structure of Root Data and Smooth Regular Embeddings of Reductive Groups
Jay Taylor
We investigate the structure of root data by considering their decomposition as a product of a semisimple root datum and a torus. Using this decomposition we obtain a parameterisat…
On The Mackey Formula for Connected Centre Groups
Jay Taylor
Let be a connected reductive algebraic group over and let be a Frobenius endomorphism endowing w…
On Self-Normalising Sylow -Subgroups in Type A
Amanda Schaeffer Fry, Jay Taylor
Navarro has conjectured a necessary and sufficient condition for a finite group to have a self-normalising Sylow -subgroup, which is given in terms of the ordinary irreducib…
Action of Automorphisms on Irreducible Characters of Symplectic Groups
Jay Taylor
Assume is a finite symplectic group over a finite field of odd characteristic. We describe the action of the automorphism group $\mathrm{Au…
A Note on Skew Characters of Symmetric Groups
Jay Taylor
In previous work Regev used part of the representation theory of Lie superalgebras to compute the values of a character of the symmetric group whose decomposition into irreducible…
Induced Characters of Type D Weyl Groups and the Littlewood-Richardson Rule
Jay Taylor
For any ordinary irreducible character of a maximal reflection subgroup of type of a type Weyl group we give an explicit decomposition of the induced character in term…
Generalised Gelfand-Graev Representations in Small Characteristics
Jay Taylor
Let be a connected reductive algebraic group over an algebraic closure of the finite field of prime order and let $F : \mathbf{G} \to \ma…
Evaluating Characteristic Functions of Character Sheaves at Unipotent Elements
Jay Taylor
Assume is a connected reductive algebraic group defined over an algebraic closure of the finite field of prime order . Furt…
Multiplicities in GGGRs for Classical Type Groups with Connected Centre I
Jay Taylor
Assume is a connected reductive algebraic group defined over such that is good prime for . Furthermore we assume that is connected and $G/Z(G…
Finding Characters Satisfying a Maximal Condition for Their Unipotent Support
Jay Taylor
In this article we extend independent results of Lusztig and Hézard concerning the existence of irreducible characters of finite reductive groups, (defined in good characteristic a…