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lgoettgens authored Dec 20, 2024
1 parent 422ed18 commit 83e55a7
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4 changes: 2 additions & 2 deletions experimental/LieAlgebras/src/RootSystem.jl
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demazure_operator(r::RootSpaceElem, w::WeightLatticeElem) -> Dict{WeightLatticeElem,<:IntegerUnion}
demazure_operator(r::RootSpaceElem, groupringelem::Dict{WeightLatticeElem,<:IntegerUnion}) -> Dict{WeightLatticeElem,<:IntegerUnion}
Computes the action of the Demazure operator associated to the positive root `r` on the given element of the groupring $\mathbb{Z}[P]$.
Computes the action of the Demazure operator associated to the positive root `r` on the given element of the groupring $\mathbb{Z}[P]$.
If a single Weight lattice element `w` is supplied, this is interpreted as `Dict(w => 1)`.
If a single Weight lattice element `w` is supplied, this is interpreted as `Dict(w => 1)`.
# Examples
```jldoctest
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2 changes: 1 addition & 1 deletion src/LieTheory/WeylGroup.jl
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@doc raw"""
reflection(beta::RootSpaceElem) -> WeylGroupElem
Return the Weyl group element corresponding to the reflection at the hyperplane orthogonal to root `beta`.
Return the Weyl group element corresponding to the reflection at the hyperplane orthogonal to the root `beta`.
"""
function reflection(beta::RootSpaceElem)
R = root_system(beta)
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