AbstractLet sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvariant with respect to Sn if (xi-xj)2m+1 divides (1-sij)P for all 1⩽i,j⩽n. We call the ring of m-quasiinvariants, QIm[Xn]. We describe a method for constructing a basis for the quotient QIm[X3]/(e1,e2,e3). This leads to the evaluation of certain binomial determinants that are interesting in their own right
AbstractWe prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenaue...
Abstract. In this paper, we present an effective algorithm to detect the emptiness of a quasi variet...
summary:A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a fin...
1Work carried out under NSF support. Let sij represent a transposition in Sn. A polynomial P in Q[Xn...
AbstractLet sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvari...
For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $\mathbf{QI_m}(G)$ the ring of ...
AbstractIn 2002, Feigin and Veselov [M. Feigin, A.P. Veselov, Quasiinvariants of Coxeter groups and ...
We study the spaces $Q_m$ of $m$-quasi-invariant polynomials of the symmetric group $S_n$ in charact...
A function g, with domain the natural numbers, is a quasi-polynomial if there exists a period m and ...
Abstract. A function g, with domain the natural numbers, is a quasi-polynomial if there exists a per...
A function g, with domain the natural numbers, is a quasi-polynomial if there exists a period m and ...
6 pages, 2 figuresWe describe a new basis of the ring of quasi-symmetric coinvariants, which is stab...
AbstractThe aim of this work is to study the quotient ring Rn of the ring Q[x1,…,xn] over the ideal ...
The aim of this work is to study the quotient ring R_n of the ring Q[x_1,...,x_n] over the ideal J_n...
AbstractWe study here the ring QSn of Quasi-symmetric functions in the variables x1,x2,…,xn. Bergero...
AbstractWe prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenaue...
Abstract. In this paper, we present an effective algorithm to detect the emptiness of a quasi variet...
summary:A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a fin...
1Work carried out under NSF support. Let sij represent a transposition in Sn. A polynomial P in Q[Xn...
AbstractLet sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvari...
For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $\mathbf{QI_m}(G)$ the ring of ...
AbstractIn 2002, Feigin and Veselov [M. Feigin, A.P. Veselov, Quasiinvariants of Coxeter groups and ...
We study the spaces $Q_m$ of $m$-quasi-invariant polynomials of the symmetric group $S_n$ in charact...
A function g, with domain the natural numbers, is a quasi-polynomial if there exists a period m and ...
Abstract. A function g, with domain the natural numbers, is a quasi-polynomial if there exists a per...
A function g, with domain the natural numbers, is a quasi-polynomial if there exists a period m and ...
6 pages, 2 figuresWe describe a new basis of the ring of quasi-symmetric coinvariants, which is stab...
AbstractThe aim of this work is to study the quotient ring Rn of the ring Q[x1,…,xn] over the ideal ...
The aim of this work is to study the quotient ring R_n of the ring Q[x_1,...,x_n] over the ideal J_n...
AbstractWe study here the ring QSn of Quasi-symmetric functions in the variables x1,x2,…,xn. Bergero...
AbstractWe prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenaue...
Abstract. In this paper, we present an effective algorithm to detect the emptiness of a quasi variet...
summary:A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a fin...
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