mirror of
https://github.com/kalmarek/PropertyT.jl.git
synced 2024-12-24 02:00:30 +01:00
update to latest AA, Groups, GroupRings
This commit is contained in:
parent
94c5481952
commit
daa29f5223
212
Manifest.toml
212
Manifest.toml
@ -2,24 +2,24 @@
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@ -28,16 +28,22 @@ uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
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@ -46,16 +52,28 @@ uuid = "d5fb7624-851a-54ee-a528-d3f3bac0b4a0"
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@ -69,11 +87,17 @@ git-tree-sha1 = "ed2c4abadf84c53d9e58510b5fc48912c2336fbb"
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@ -84,25 +108,25 @@ deps = ["Mmap"]
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@ -112,53 +136,71 @@ version = "0.2.0"
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@ -166,6 +208,12 @@ git-tree-sha1 = "b34d7cef7b337321e97d22242c3c2b91f476748e"
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|
||||
deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "UUIDs"]
|
||||
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
|
||||
|
||||
[[Printf]]
|
||||
deps = ["Unicode"]
|
||||
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
||||
|
||||
[[Profile]]
|
||||
deps = ["Printf"]
|
||||
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
|
||||
|
||||
[[REPL]]
|
||||
deps = ["InteractiveUtils", "Markdown", "Sockets"]
|
||||
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
|
||||
@ -255,9 +317,9 @@ deps = ["Serialization"]
|
||||
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
|
||||
|
||||
[[RecipesBase]]
|
||||
git-tree-sha1 = "7bdce29bc9b2f5660a6e5e64d64d91ec941f6aa2"
|
||||
git-tree-sha1 = "b4ed4a7f988ea2340017916f7c9e5d7560b52cae"
|
||||
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
|
||||
version = "0.7.0"
|
||||
version = "0.8.0"
|
||||
|
||||
[[SHA]]
|
||||
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
|
||||
@ -283,10 +345,10 @@ deps = ["LinearAlgebra", "Random"]
|
||||
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
||||
|
||||
[[SpecialFunctions]]
|
||||
deps = ["BinDeps", "BinaryProvider", "Libdl"]
|
||||
git-tree-sha1 = "3bdd374b6fd78faf0119b8c5d538788dbf910c6e"
|
||||
deps = ["OpenSpecFun_jll"]
|
||||
git-tree-sha1 = "e19b98acb182567bcb7b75bb5d9eedf3a3b5ec6c"
|
||||
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
|
||||
version = "0.8.0"
|
||||
version = "0.10.0"
|
||||
|
||||
[[StaticArrays]]
|
||||
deps = ["LinearAlgebra", "Random", "Statistics"]
|
||||
@ -302,6 +364,12 @@ uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
|
||||
deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
|
||||
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
||||
|
||||
[[TranscodingStreams]]
|
||||
deps = ["Random", "Test"]
|
||||
git-tree-sha1 = "7c53c35547de1c5b9d46a4797cf6d8253807108c"
|
||||
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
|
||||
version = "0.9.5"
|
||||
|
||||
[[URIParser]]
|
||||
deps = ["Test", "Unicode"]
|
||||
git-tree-sha1 = "6ddf8244220dfda2f17539fa8c9de20d6c575b69"
|
||||
@ -314,3 +382,9 @@ uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
|
||||
|
||||
[[Unicode]]
|
||||
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
|
||||
|
||||
[[Zlib_jll]]
|
||||
deps = ["Libdl", "Pkg"]
|
||||
git-tree-sha1 = "2f6c3e15e20e036ee0a0965879b31442b7ec50fa"
|
||||
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
|
||||
version = "1.2.11+9"
|
||||
|
||||
16
Project.toml
16
Project.toml
@ -1,7 +1,7 @@
|
||||
name = "PropertyT"
|
||||
uuid = "03b72c93-0167-51e2-8a1e-eb4ff1fb940d"
|
||||
authors = ["Marek Kaluba <kalmar@amu.edu.pl>"]
|
||||
version = "0.3.1"
|
||||
version = "0.3.2"
|
||||
|
||||
[deps]
|
||||
AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
|
||||
@ -12,16 +12,16 @@ IntervalArithmetic = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
|
||||
JLD = "4138dd39-2aa7-5051-a626-17a0bb65d9c8"
|
||||
JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
|
||||
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
|
||||
Markdown = "d6f4376e-aef5-505a-96c1-9c027394607a"
|
||||
MathProgBase = "fdba3010-5040-5b88-9595-932c9decdf73"
|
||||
Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
||||
SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
||||
|
||||
[compat]
|
||||
AbstractAlgebra = "^0.7.0"
|
||||
GroupRings = "^0.3.0"
|
||||
Groups = "^0.3.0"
|
||||
julia = "≥ 1.1.0"
|
||||
AbstractAlgebra = "^0.9.0"
|
||||
GroupRings = "^0.3.1"
|
||||
Groups = "^0.4.0"
|
||||
IntervalArithmetic = "^0.16.0"
|
||||
JLD = "^0.9.0"
|
||||
JuMP = "^0.20.0"
|
||||
julia = "^1.3.0, ^1.4.0"
|
||||
|
||||
[extras]
|
||||
SCS = "c946c3f1-0d1f-5ce8-9dea-7daa1f7e2d13"
|
||||
|
||||
8
REQUIRE
8
REQUIRE
@ -1,8 +0,0 @@
|
||||
julia
|
||||
AbstractAlgebra
|
||||
Groups
|
||||
GroupRings
|
||||
IntervalArithmetic
|
||||
JuMP
|
||||
JLD
|
||||
SCS
|
||||
@ -1,5 +1,3 @@
|
||||
using Printf
|
||||
|
||||
###############################################################################
|
||||
#
|
||||
# Settings and filenames
|
||||
|
||||
@ -2,8 +2,8 @@ indexing(n) = [(i,j) for i in 1:n for j in 1:n if i≠j]
|
||||
|
||||
function generating_set(G::AutGroup{N}, n=N) where N
|
||||
|
||||
rmuls = [Groups.rmul_autsymbol(i,j) for (i,j) in indexing(n)]
|
||||
lmuls = [Groups.lmul_autsymbol(i,j) for (i,j) in indexing(n)]
|
||||
rmuls = [Groups.transvection_R(i,j) for (i,j) in indexing(n)]
|
||||
lmuls = [Groups.transvection_L(i,j) for (i,j) in indexing(n)]
|
||||
gen_set = G.([rmuls; lmuls])
|
||||
|
||||
return [gen_set; inv.(gen_set)]
|
||||
|
||||
@ -4,7 +4,6 @@ module PropertyT
|
||||
using AbstractAlgebra
|
||||
using LinearAlgebra
|
||||
using SparseArrays
|
||||
using Markdown
|
||||
using Dates
|
||||
|
||||
using Groups
|
||||
@ -15,8 +14,6 @@ using JuMP
|
||||
|
||||
import AbstractAlgebra: Group, NCRing
|
||||
|
||||
import MathProgBase.SolverInterface.AbstractMathProgSolver
|
||||
|
||||
include("laplacians.jl")
|
||||
include("RGprojections.jl")
|
||||
include("orbitdata.jl")
|
||||
|
||||
@ -3,7 +3,6 @@ module Projections
|
||||
using AbstractAlgebra
|
||||
using Groups
|
||||
using GroupRings
|
||||
using Markdown
|
||||
|
||||
export PermCharacter, DirectProdCharacter, rankOne_projections
|
||||
|
||||
@ -55,7 +54,7 @@ for T in [PermCharacter, DirectProdCharacter]
|
||||
end
|
||||
end
|
||||
|
||||
characters(G::Generic.PermGroup) = (PermCharacter(p) for p in AllParts(G.n))
|
||||
characters(G::Generic.SymmetricGroup) = (PermCharacter(p) for p in AllParts(G.n))
|
||||
|
||||
function characters(G::DirectPowerGroup{N}) where N
|
||||
nfold_chars = Iterators.repeated(characters(G.group), N)
|
||||
@ -80,7 +79,7 @@ function central_projection(RG::GroupRing, chi::AbstractCharacter, T::Type=Ratio
|
||||
return result
|
||||
end
|
||||
|
||||
function alternating_emb(RG::GroupRing{Gr,T}, V::Vector{T}, S::Type=Rational{Int}) where {Gr<:Generic.PermGroup, T<:GroupElem}
|
||||
function alternating_emb(RG::GroupRing{Gr,T}, V::Vector{T}, S::Type=Rational{Int}) where {Gr<:AbstractAlgebra.AbstractPermutationGroup, T<:GroupElem}
|
||||
res = RG(S)
|
||||
for g in V
|
||||
res[g] += sign(g)
|
||||
@ -88,7 +87,7 @@ function alternating_emb(RG::GroupRing{Gr,T}, V::Vector{T}, S::Type=Rational{Int
|
||||
return res
|
||||
end
|
||||
|
||||
function idempotents(RG::GroupRing{Generic.PermGroup{S}}, T::Type=Rational{Int}) where S<:Integer
|
||||
function idempotents(RG::GroupRing{Generic.SymmetricGroup{S}}, T::Type=Rational{Int}) where S<:Integer
|
||||
if RG.group.n == 1
|
||||
return GroupRingElem{T}[one(RG,T)]
|
||||
elseif RG.group.n == 2
|
||||
@ -142,7 +141,7 @@ function rankOne_projection(chi::PermCharacter, idems::Vector{T}) where {T<:Grou
|
||||
throw("Couldn't find rank-one projection for $chi")
|
||||
end
|
||||
|
||||
function rankOne_projections(RG::GroupRing{G}, T::Type=Rational{Int}) where G<:Generic.PermGroup
|
||||
function rankOne_projections(RG::GroupRing{<:Generic.SymmetricGroup}, T::Type=Rational{Int})
|
||||
if RG.group.n == 1
|
||||
return [GroupRingElem([one(T)], RG)]
|
||||
end
|
||||
@ -170,7 +169,7 @@ function rankOne_projections(RBn::GroupRing{G}, T::Type=Rational{Int}) where {G<
|
||||
N = Bn.P.n
|
||||
# projections as elements of the group rings RSₙ
|
||||
Sn_rankOnePr = [rankOne_projections(
|
||||
GroupRing(PermGroup(i), collect(PermGroup(i))))
|
||||
GroupRing(SymmetricGroup(i), collect(SymmetricGroup(i))))
|
||||
for i in typeof(N)(1):N]
|
||||
|
||||
# embedding into group ring of BN
|
||||
@ -208,15 +207,16 @@ end
|
||||
#
|
||||
##############################################################################
|
||||
|
||||
@doc doc"""
|
||||
products(X::Vector{GroupElem}, Y::Vector{GroupElem}, op=*)
|
||||
> Returns a vector of all possible products (or `op(x,y)`), where $x\in X$ and
|
||||
> $y\in Y$ are group elements. You may specify which operation is used when
|
||||
> forming 'products' by adding `op` (which is `*` by default).
|
||||
"""
|
||||
products(X::Vector{GroupElem}, Y::Vector{GroupElem}[, op=*])
|
||||
Return a vector of all possible products (or `op(x,y)`), where `x ∈ X` and
|
||||
`y ∈ Y`. You may change which operation is used by specifying `op` argument.
|
||||
"""
|
||||
function products(X::AbstractVector{T}, Y::AbstractVector{T}, op=*) where {T<:GroupElem}
|
||||
result = Vector{T}()
|
||||
seen = Set{T}()
|
||||
sizehint!(result, length(X)*length(Y))
|
||||
sizehint!(seen, length(X)*length(Y))
|
||||
for x in X
|
||||
for y in Y
|
||||
z = op(x,y)
|
||||
@ -229,25 +229,21 @@ function products(X::AbstractVector{T}, Y::AbstractVector{T}, op=*) where {T<:Gr
|
||||
return result
|
||||
end
|
||||
|
||||
@doc doc"""
|
||||
generateGroup(gens::Vector{GroupElem}, r=2, Id=parent(first(gens))(), op=*)
|
||||
> Produces all elements of a group generated by elements in `gens` in ball of
|
||||
> radius `r` (word-length metric induced by `gens`).
|
||||
> If `r(=2)` is specified the procedure will terminate after generating ball
|
||||
> of radius `r` in the word-length metric induced by `gens`.
|
||||
> The identity element `Id` and binary operation function `op` can be supplied
|
||||
> to e.g. take advantage of additive group structure.
|
||||
"""
|
||||
function generateGroup(gens::Vector{T}, r=2, Id::T=one(parent(first(gens))), op=*) where {T<:GroupElem}
|
||||
generateGroup(gens::Vector{GroupElem}, r, [op=*])
|
||||
Produce all elements of a group generated by elements in `gens` in ball of
|
||||
radius `r` (word-length metric induced by `gens`). The binary operation can
|
||||
be optionally specified.
|
||||
"""
|
||||
function generateGroup(gens::Vector{T}, r, op=*) where {T<:GroupElem}
|
||||
n = 0
|
||||
R = 1
|
||||
elts = gens
|
||||
gens = [Id; gens]
|
||||
elts = [one(first(gens)); gens]
|
||||
while n ≠ length(elts) && R < r
|
||||
# @show elts
|
||||
R += 1
|
||||
n = length(elts)
|
||||
elts = products(elts, gens, op)
|
||||
elts = products(gens, elts, op)
|
||||
end
|
||||
return elts
|
||||
end
|
||||
|
||||
Loading…
Reference in New Issue
Block a user