Decomposition of the diagonal action of on the coinvariant space of .
Entropy of Schur–Weyl measures
Relative dimensions of isotypic components of th order tensor representations of the symmetric group on letters give a Plancherel-type measure on the space of Young diagrams with cells and at most rows. It was conjectured by G. Olshanski that dimensions of isotypic components of tensor representations of finite symmetric groups, after appropriate normalization, converge to a constant with respect to this family of Plancherel-type measures in the limit when converges to a constant. The main...
Enumerating large orbits and direct condensation.
Eulerian idempotent and Kashiwara-Vergne conjecture
By using the interplay between the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution of the first equation of the Kashiwara-Vergne conjectureThen, we explicit all the solutions of the equation in the completion of the free Lie algebra generated by two indeterminates and thanks to the kernel of the Dynkin idempotent.
Exact Borel subalgebras of quasi-heriditary algebras, I (with an appendix by Leonard Scott).
Explicit solutions to embedding problems associated to orthogonal Galois representations.
Finite dimensional modules of some quantum groups over Fp (v).
Foncteurs polynomiaux et foncteurs de Mackey non linéaires
On décrit les foncteurs polynomiaux, des groupes abéliens libres vers les groupes abéliens, comme des diagrammes de groupes abéliens dont on explicite les relations.
Fonctions symétriques associées à des suites classiques de nombres
Frobenius symbols for partitions and degrees of spin characters.
Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group
Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups
We construct a subalgebra of dimension of the group algebra of the Weyl group of type containing its usual Solomon algebra and the one of : is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to . In an appendix, P. Baumann and C. Hohlweg present in an explicit and...
Generalized symmetry classes of tensors
Let be a unitary space. For an arbitrary subgroup of the full symmetric group and an arbitrary irreducible unitary representation of , we study the generalized symmetry class of tensors over associated with and . Some important properties of this vector space are investigated.
Gruppenalgebren über nichtzyklische p-Gruppen. II. Die Quaterionengruppe und die verallgemeinerten Quaternionengruppe.
Gruppenalgebren über nichtzyklischen p-Gruppen. I. Die Dieder- und die Quasidiedergruppen.
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products
The main result of the paper is a natural construction of the spherical subalgebra in a symplectic reflection algebra associated with a wreath-product in terms of quantum hamiltonian reduction of an algebra of differential operators on a representation space of an extended Dynkin quiver. The existence of such a construction has been conjectured in [EG]. We also present a new approach to reflection functors and shift functors for generalized preprojective algebras and symplectic reflection algebras...
Heights of spin characters in characteristic 2.
Ideal decompositions and computation of tensor normal forms.
Imprimitive Irreducible Complex Characters of the Symmetric Group.
Integral schur algebras for GL2.