jackpolynomials-1.2.1.0: Jack, zonal, Schur and skew Schur polynomials
Copyright(c) Stéphane Laurent 2024
LicenseGPL-3
Maintainerlaurent_step@outlook.fr
Safe HaskellSafe-Inferred
LanguageHaskell2010

Math.Algebra.JackPol

Description

Computation of symbolic Jack polynomials, zonal polynomials, Schur polynomials and skew Schur polynomials. See README for examples and references.

Synopsis

Documentation

jackPol' Source #

Arguments

:: Int

number of variables

-> Partition

partition of integers

-> Rational

Jack parameter

-> Char

which Jack polynomial, J, C, P or Q

-> Spray Rational 

Symbolic Jack polynomial

zonalPol' Source #

Arguments

:: Int

number of variables

-> Partition

partition of integers

-> Spray Rational 

Symbolic zonal polynomial

schurPol' Source #

Arguments

:: Int

number of variables

-> Partition

partition of integers

-> Spray Rational 

Symbolic Schur polynomial

skewSchurPol' Source #

Arguments

:: Int

number of variables

-> Partition

outer partition of the skew partition

-> Partition

inner partition of the skew partition

-> Spray Rational 

Symbolic skew Schur polynomial

jackPol Source #

Arguments

:: forall a. (Eq a, C a) 
=> Int

number of variables

-> Partition

partition of integers

-> a

Jack parameter

-> Char

which Jack polynomial, J, C, P or Q

-> Spray a 

Symbolic Jack polynomial

zonalPol Source #

Arguments

:: forall a. (Eq a, C a) 
=> Int

number of variables

-> Partition

partition of integers

-> Spray a 

Symbolic zonal polynomial

schurPol Source #

Arguments

:: forall a. (Ord a, C a) 
=> Int

number of variables

-> Partition

partition of integers

-> Spray a 

Symbolic Schur polynomial

skewSchurPol Source #

Arguments

:: forall a. (Ord a, C a) 
=> Int

number of variables

-> Partition

outer partition of the skew partition

-> Partition

inner partition of the skew partition

-> Spray a 

Symbolic skew Schur polynomial