A computational verification of Alperin's weight conjecture for groups of small order and their prime fields.
An algorithm for the decomposition of ideals of the group ring of a symmetric group.
Calculs d'invariants primitifs de groupes finis
Calculs d'invariants primitifs de groupes finis
We introduce in this article a new method to calculate all absolute and relatif primitive invariants of finite groups. This method is inspired from K. Girstmair which calculate an absolute primitive invariant of minimal degree. Are presented two algorithms, the first one enable us to calculate all primitive invariants of minimal degree, and the second one calculate all absolute or relative primitive invariants with distincts coefficients. This work take place in Galois Theory and Invariant Theory. ...
Computational construction of -graphs of Hecke algebras for up to 15.
Computing homomorphism spaces between modules over finite dimensional algebras.
Computing Kazhdan-Lusztig polynomials for arbitrary Coxeter groups.
Constructing rational representations of finite groups.
Enumerating large orbits and direct condensation.
Fourier transforms with respect to monomial representations.
Ideal decompositions and computation of tensor normal forms.
Matrix generators for the Harada-Norton group.
On special pieces in the unipotent variety.
Semi-presentations for the sporadic simple groups.
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra of the symmetric group over a field of characteristic 0 (or ). The goal is to obtain a constructive version of the isomorphism where is a partition of and counts the standard tableaux of shape ....
The 3-modular characters of the twisted Chevalley group 2D4(2) y 2D4(2).2.
In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.
The Brauer tree of the principal 19-block of the sporadic simple Thompson group.
The Decomposition numbers of the Hecke algebra of type F4.
The irreducible six-dimensional complex representations of that are nontrivial on .