Documentation

data Type Source

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

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

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

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

weylPerms :: Type -> Int -> [Permutation [Q]] Source

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

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

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

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

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

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

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

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

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

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

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

eltsCoxeter :: Type -> Int -> [[SGen]] Source

poincarePoly :: Type -> Int -> [Int] Source

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

lieMult :: Num a => a -> a -> a Source

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

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

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

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

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

orderWeyl :: Integral a => Type -> a -> Integer Source

factorial :: Integral a => a -> Integer Source