The characters of the hecatonicosahedroidal group.
The Decomposition of Tensors over Fields of Prime Characteristic.
The Faithful Linear Representation of Least Degree of Sn and An over a Field of Characteristic 2.
The Faithful Linear Representations of Least Degree of Sn and An over a Field of Odd Characteristics.
The Fixed Point Subvarieties of Unipotent Transformations on Generalized Flag Varieties and the Green Functions. Combinatorial and Cohomological Treatments Centering GLn.
The Garnir relations for Weyl groups of type .
The hook fusion procedure.
The modular representation theory of q-Schur algebras. II.
The representation theory and the branching graph for the family of Turaev algebras .
The representations and generic degrees of the Hecke algeba of type H4.
The ring of multisymmetric functions
We give a presentation (in terms of generators and relations) of the ring of multisymmetric functions that holds for any commutative ring , thereby answering a classical question coming from works of F. Junker [J1, J2, J3] in the late nineteen century and then implicitly in H. Weyl book “The classical groups” [W].
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 Variety of Leibniz Algebras Defined by the Identity x(y(zt)) ≡ 0
2000 Mathematics Subject Classification: Primary: 17A32; Secondary: 16R10, 16P99, 17B01, 17B30, 20C30Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras 3N determined by the identity x(y(zt)) ≡ 0. The algebras of this variety are left nilpotent of class not more than 3. We give a complete description of the vector space of multilinear identities in the language of representation theory of the symmetric group Sn and Young diagrams. We also show that the...
The Young diagrams of a pair of irreducible characters of with the same zero set on .
Two-rowed -type Hecke algebra representations at roots of unity.
Ueber die Anzahl der Riemann'schen Flächen mit gegebenen Verzweigungspunkten.
Ueber die Darstellungen der Automorphismengruppe einer Riemannschen Fläche in den Eigenräumen des Laplace-Operators.
Une nouvelle propriété de stabilité du pléthysme.
Vertices of simple modules for the symmetric groups in blocks of small weights.
Weak polynomial identities and their applications
Let be an associative algebra over a field generated by a vector subspace . The polynomial of the free associative algebra is a weak polynomial identity for the pair if it vanishes in when evaluated on . We survey results on weak polynomial identities and on their applications to polynomial identities and central polynomials of associative and close to them nonassociative algebras and on the finite basis problem. We also present results on weak polynomial identities of degree three....