Demazure Operators and Lean #
Source: doi:10.1070/RM1973v028n03ABEH001557
Authors: Óscar Álvarez Sánchez
Status: verified
Main declarations: Demazure.Dem, CoxeterSystem.strongExchangeProperty
Tags: algebraic-combinatorics, demazure-operators, polynomials, representation-theory
MSC: 05E05, 13P10, 20F55
The Demazure-operator declarations are sourced to the BGG Schubert-cells paper
listed in the project card. The strong-exchange declaration is included as
supporting Coxeter theory with source metadata from Humphreys' Reflection Groups
and Coxeter Groups. The Matsumoto development is retained as conditional
auxiliary infrastructure because CoxeterSystem.matsumoto_reduced assumes the
extra MatsumotoCondition hypothesis.