Symmetrization operators on polynomial rings

DOI10.1007/BF01077811zbMath0659.13008OpenAlexW2076513464MaRDI QIDQ1112119

Lascoux, Alain, Schützenberger, Marcel-Paul

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077811

zbMATH Keywords

polynomial ringHecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items

Specializations of Grothendieck polynomials, Notes on Schubert, Grothendieck and key polynomials, Schubert polynomials: A historical approach, Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras, Double Sylvester sums for subresultants and multi-Schur functions., On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials, Schubert polynomials, the Bruhat order, and the geometry of flag manifolds, Kostant polynomials and the cohomology ring for \(G/B\), Décompositions dans l'algèbre des différences divisées. (Decompositions in the algebra of divided differences), A combinatorial construction of the Schubert polynomials, Hecke algebras, difference operators, and quasi-symmetric functions, Hecke algebra actions on the coinvariant algebra

Cites Work

• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Invariants symétriques entiers des groupes de Weyl et torsion