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| * Maybe implement: {{{ sage: F = QQ['q,t']; (q,t) = F.gens(); F.rename('QQ(q,t)') sage: P = AbstractPolynomialRing(F, 'x0,x1,x2'); P The abstract ring of multivariate polynomials in x0, x1, x2 over QQ(q,t) sage: m = Macdo.m; m Multivariate Polynomial Ring in x0, x1, x2 over QQ(q,t) sage: Macdo = P.MacdonaldPolynomials(q, t) sage: E = Macdo.E(pi = [3,1,2]); E Multivariate Polynomial Ring in x0, x1, x2 over QQ(q,t), in the Macdonald E basis, with basement [3,1,2] sage: E[1,0,0] E[1,0,0] sage: m(E[1,0,0]) x0 }}} |
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| People: Jeff | == Setup the framework for multivariate polynomials with several bases == See: [[combinat/MultivariatePolynomials]] People: AlainLascoux |
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| * Integrate a StabChain from Gap to sage * Finalise the module and submit it |
* Integrate a method in the gap interface to get an element in a gap record : [[http://trac.sagemath.org/sage_trac/ticket/6620|#6620]] * Add transversals, orbit and stabilizer methods for permutation groups : [[http://trac.sagemath.org/sage_trac/ticket/6647|#6647]] * Implement or port a StabilizerChain in Sage * Finalise the module of generation and submit it |
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== Implement simplify_factorial in Sage == Use the new symbolics to implement simplification of expressions with binomials, factorials, etc. This is [[http://trac.sagemath.org/sage_trac/ticket/6636|#6636]] on trac. People: Flavia Stan, Burcin Erocal == Design discussions == - Standardize TransitiveIdeal TransitiveIdealGraded, SearchForest, ... [[http://trac.sagemath.org/sage_trac/ticket/6637|#6637]] - Choose and implement a syntax to import standard notations from a Parent (from SymmetricFunctions(QQ).shortcuts() import *) == [[http://trac.sagemath.org/sage_trac/ticket/6638|#6638]] - Choose syntax and semantic conventions for permutations and discrete functions [[combinat/01]] == |
*-combinat Days Project Idea Page
Implement a generic FactoredElement class
PEOPLE: Burcin Erocal
- In many combinatorics applications we work with rational functions whose numerator/denominator factor into nice components where the factorization is also known beforehand. The current representation of rational functions in Sage use the expanded form of the numerator and denominator. The goal is to implement a generic wrapper to store elements in a factored representation.
sage-devel thread about working with factored denominators
code mentined above is here
An example of adding a new basis to an algebra
PEOPLE: Franco Saliola, CoryBrunson
- This should be a nice exercise in adding a new basis (the seminormal basis) to an algebra (the group algebra of the symmetric group). We don't even have to introduce any new code to construct the basis since it already exists in Sage, thanks to Mike Hansen. On the other hand, I do have a better implementation based on a method that Alain Lascoux explained to me, so we could use that instead.
Try out Nathann Cohen new interface to Mixed Integer Linear Programming software
PEOPLE: Nicolas Thiéry
Bug squashing!
PEOPLE: Franco Saliola, Jason Bandlow, Florent Hivert, Peter McNamara
- There are bugs in Sage that need fixin':
The wiki page quirks and weirdness in sage-combinat contains a list of quirks and weirdness in sage-combinat.
The sage-combinat milestone lists all tickets labelled sage-combinat.
Categories
100% doctest and review for all patches up to sagecombinat 4.1
Functorial constructions: subquotient, cartesian_product
FlorentHivert, FrancoSaliola, AnneSchilling, NicolasThiéry
Categorification of RootSystems and Crystals
And application to parabolic subroot-systems
NicolasBorie, AnneSchilling, NicolasThiéry, CoryBrunson
graph layout using graphviz / dot2tex optional package
Anne Schilling, FrancoSaliola, NicolasThiéry
Quickref card for sage.combinat
JasonBandlow, FrancoSaliola, NicolasThiéry
Refactoring of symmetric functions
- Patch Symmetrica
- Make LRcalc spkg
Bring all symmetric functions under the SymmetricFunctions umbrella
- Improve documentation
Improve Nonsymmetric Macdonald polynomials
- Add doctests with examples on specifying q, t, and the basement pi
- Add input checks for pi. Maybe accept a list as input, and make it into an appropriate permutation
Setup the framework for multivariate polynomials with several bases
See: combinat/MultivariatePolynomials
People: AlainLascoux
Module for generate integer list up to the action of a permutation group
Integrate a method in the gap interface to get an element in a gap record : #6620
Add transversals, orbit and stabilizer methods for permutation groups : #6647
Implement or port a StabilizerChain in Sage
- Finalise the module of generation and submit it
Implement simplify_factorial in Sage
Use the new symbolics to implement simplification of expressions with binomials, factorials, etc. This is #6636 on trac.
People: Flavia Stan, Burcin Erocal
Design discussions
- Standardize TransitiveIdeal TransitiveIdealGraded, SearchForest, ...
- Choose and implement a syntax to import standard notations from a Parent (from SymmetricFunctions(QQ).shortcuts() import *) ==
- Choose syntax and semantic conventions for permutations and discrete functions
==