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
Abstract The Hilbert function, its generating function and the Hilbert polynomial of a graded rin...
AbstractAfter the change of variables Δi = γi − δi and xi,i + 1 = δi − δi + 1 we show that the invar...
The ring of quasi-invariants $Q_m$ can be associated with the root system $R$ and multiplicity funct...
AbstractLet sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvari...
1Work carried out under NSF support. Let sij represent a transposition in Sn. A polynomial P in Q[Xn...
AbstractWe study here the ring QSn of Quasi-symmetric functions in the variables x1,x2,…,xn. Bergero...
AbstractIn 2002, Feigin and Veselov [M. Feigin, A.P. Veselov, Quasiinvariants of Coxeter groups and ...
AbstractOur main result is a proof of the Florent Hivert conjecture [F. Hivert, Local action of the ...
AbstractWe prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenaue...
For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $\mathbf{QI_m}(G)$ the ring of ...
AbstractThe aim of this work is to study the quotient ring Rn of the ring Q[x1,…,xn] over the ideal ...
AbstractWe study, in a global uniform manner, the quotient of the ring of polynomials in ℓ sets of n...
We study the spaces $Q_m$ of $m$-quasi-invariant polynomials of the symmetric group $S_n$ in charact...
AbstractIt is shown that a refined version of a q-analogue of the Eulerian numbers together with the...
AbstractWe define a new action of the symmetric group and its Hecke algebra on polynomial rings whos...
Abstract The Hilbert function, its generating function and the Hilbert polynomial of a graded rin...
AbstractAfter the change of variables Δi = γi − δi and xi,i + 1 = δi − δi + 1 we show that the invar...
The ring of quasi-invariants $Q_m$ can be associated with the root system $R$ and multiplicity funct...
AbstractLet sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvari...
1Work carried out under NSF support. Let sij represent a transposition in Sn. A polynomial P in Q[Xn...
AbstractWe study here the ring QSn of Quasi-symmetric functions in the variables x1,x2,…,xn. Bergero...
AbstractIn 2002, Feigin and Veselov [M. Feigin, A.P. Veselov, Quasiinvariants of Coxeter groups and ...
AbstractOur main result is a proof of the Florent Hivert conjecture [F. Hivert, Local action of the ...
AbstractWe prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenaue...
For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $\mathbf{QI_m}(G)$ the ring of ...
AbstractThe aim of this work is to study the quotient ring Rn of the ring Q[x1,…,xn] over the ideal ...
AbstractWe study, in a global uniform manner, the quotient of the ring of polynomials in ℓ sets of n...
We study the spaces $Q_m$ of $m$-quasi-invariant polynomials of the symmetric group $S_n$ in charact...
AbstractIt is shown that a refined version of a q-analogue of the Eulerian numbers together with the...
AbstractWe define a new action of the symmetric group and its Hecke algebra on polynomial rings whos...
Abstract The Hilbert function, its generating function and the Hilbert polynomial of a graded rin...
AbstractAfter the change of variables Δi = γi − δi and xi,i + 1 = δi − δi + 1 we show that the invar...
The ring of quasi-invariants $Q_m$ can be associated with the root system $R$ and multiplicity funct...
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