Teoría de representaciones de grupos finitos: problemas locales.
The Artin exponent of finite groups
The Burau representation is not faithful for .
The characters of a group of type .
The characters of the hecatonicosahedroidal group.
The Chern classes modulo of a regular representation. (Les classes de Chern modulo d'une représentation régulière.)
The density of representation degrees
For a group and a positive real number , define to be the number of integers less than which are dimensions of irreducible complex representations of . We study the asymptotics of for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups in characteristic zero, showing that either there exists such that for all large , or is virtually abelian (in which case is bounded).
The diameter of the character degree graph..
The Euler class and periodicity of group cohomology.
The Functional Equation. (Short Communication).
The geometry of the set of characters iduced by valuations.
The inner product of -functions
The interplay between linear representations of the braid group.
The irreducible six-dimensional complex representations of that are nontrivial on .
The mapping class group of a genus two surface is linear.
The number of representations of a group induced from the irreducible representations of a normal subgroup.
The Primitive Permutation Groups of Some Special Degrees.
The representations and generic degrees of the Hecke algeba of type H4.
The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group
We show that the explicit formula of Stanley-Féray-Śniady for the characters of the symmetric group has a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel’fand pair .
The table of characters of some quasigroups
It is known that (ℤₙ,-ₙ) are examples of entropic quasigroups which are not groups. In this paper we describe the table of characters for quasigroups (ℤₙ,-ₙ).