Math.Algebras.NonCommutative

A module defining the algebra of non-commutative polynomials over a field k

Documentation

data NonComMonomial v

Constructors

NCM Int [v]

Instances

Monomial NonComMonomial

(Num k, Ord v) => Algebra k (NonComMonomial v)

Eq v => Eq (NonComMonomial v)

Ord v => Ord (NonComMonomial v)

(Eq v, Show v) => Show (NonComMonomial v)

Mon (NonComMonomial v)

Eq v => DivisionBasis (NonComMonomial v)

class Monomial m where

Methods

var :: v -> Vect Q (m v)

powers :: Eq v => m v -> [(v, Int)]

Instances

Monomial NonComMonomial

Monomial SL2q

Monomial M2q

Monomial Aq02

Monomial Aq20

type NCPoly v = Vect Q (NonComMonomial v)

class DivisionBasis m where

Methods

divM :: m -> m -> Maybe (m, m)

Instances

Eq v => DivisionBasis (NonComMonomial v)