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Character levels and character bounds for finite classical groups
The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the...
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Character table sudokus
It is a fun game to complete a partial character table of a finite group. We show that one can reconstruct a missing row or column from a given...
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On Character Degrees and Codegrees
In this paper, we study two open questions raised by Qian about the relations of character degrees and codegrees. We settle one completely and...
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Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees
For an irreducible character χ of a finite group G , the codegree of χ is defined as ∣ G : ker( χ )∣/ χ (1). In this paper, the authors determine finite...
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Character Sheaves for Classical Graded Lie Algebras
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II...
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Some Properties of Normal Subgroups Determined from Character Tables
G -character tables of a finite group G were defined in Felipe et al. (Quaest Math, 2022.
https://doi.org/10.2989/16073606/16073606.2022.2040633 ...
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The character of Thurston’s circle packings
We introduce the character of Thurston’s circle packings in the hyperbolic background geometry Consequently, some quite simple criteria are obtained...
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Three conjectures about character sums
We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the...
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On the cohomology of character stacks for non-orientable surfaces
We give a counterexample to a formula suggested by the work of Letellier and Rodriguez-Villegas (Ann l’Inst Fourier 36, 2022) for the mixed Poincaré...
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On character sums with determinants
We estimate weighted character sums with determinants ad − bc of 2 × 2 matrices modulo a prime p with entries a , b , c and d varying over the interval...
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Methods and Questions in Character Degrees of Finite Groups
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful...
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Group Elements Whose Character Values are Roots of Unity
We classify all finite groups G that possess an element x ∈ G such that every irreducible character of G takes a root of unity value at x .
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On character varieties of singular manifolds
In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual classes, in the Grothendieck ring of algebraic...
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Generalized metrics and Chern character forms
Given an antiholomorphic superconnection and a generalized metric, we define associated Chern character forms. We show that the corresponding...