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Wan and Zhang have recently obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a problem whether their bound can be improved. ...
This 10-day workshop is devoted to the representation theory of symmetric groups and related algebras.The representation theory of symmetric groups and related algebras is a vibrant and dynamic resear...
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in R n . It has recently been shown that properties of the centrosymmetric polytope P = AC are of interest for ...
Based on the well-posedness of the stationary Wigner equation with in ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions that the solution of the Wigner eq...
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
We give the graded Cartan determinants of the symmetric groups. Based on it, we propose a gradation of Hill's conjecture which is equivalent to K\"ulshammer-Olsson-Robinson's conjecture on the general...
Abstract: The purpose of this expository note is to describe duality and trace in a symmetric monoidal category, along with important properties (including naturality and functoriality), and to give a...
Abstract: We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra of odd sy...
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra [CC91] in two ways. First, we show that the total order of the subgroups in their decomposition belongs to...

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