HaskellForMaths-0.4.5: Combinatorics, group theory, commutative algebra, non-commutative algebra

Safe HaskellSafe-Infered

Math.Projects.RootSystem

Documentation

data Type Source

Constructors

A 
B 
C 
D 
E 
F 
G 

basisElt :: Int -> Int -> [Q]Source

w :: Fractional a => [a] -> [a] -> [a]Source

closure :: (Fractional a, Ord a) => [[a]] -> [[a]]Source

weylMatrices :: Type -> Int -> [[[Q]]]Source

wMx :: [Q] -> [[Q]]Source

setDiag :: a -> [[a]] -> [[a]]Source

dynkinFromCartan :: Num a => [[a]] -> [[a]]Source

coxeterFromDynkin :: (Eq a1, Num a1, Num a) => [[a1]] -> [[a]]Source

coxeterMatrix :: Num a => Type -> Int -> [[a]]Source

fromCoxeterMatrix :: [[Int]] -> ([SGen], [([SGen], [a])])Source

fromCoxeterMatrix2 :: [[Int]] -> ([SGen], [([SGen], [SGen])])Source

coxeterPresentation :: Type -> Int -> ([SGen], [([SGen], [a])])Source

elemMx :: Int -> Int -> Int -> [[Q]]Source

lieMult :: Num a => a -> a -> aSource

(+|+) :: [[a]] -> [[a]] -> [[a]]Source

(+-+) :: [a] -> [a] -> [a]Source

form :: Num a => Type -> Int -> [[a]]Source

rootSystem :: Type -> Int -> [[Q]]Source

numRoots :: (Eq a, Num a) => Type -> a -> aSource