Opened 13 years ago

Last modified 9 years ago

#5457 closed enhancement

Refactor symmetric functions and k-bounded subspace — at Version 5

Reported by: nthiery Owned by: mhansen
Priority: major Milestone: sage-5.4
Component: combinatorics Keywords: symmetric functions, days38, sd40
Cc: sage-combinat, saliola, bump, chrisjamesberg, zabrocki, SimonKing Merged in:
Authors: Mike Zabrocki, Anne Schilling Reviewers: Dan Bump, Franco Saliola
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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Description (last modified by aschilling)

This patch restructures the implementation of symmetric functions in sage

The new implementation makes use of multiple realizations and the category framework. The new access to symmetric functions is via

sage: Sym = SymmetricFunctions(QQ)

Further new features that are implemented:

  • The ring of symmetric functions is now endowed with a Hopf algebra structure. The coproduct and antipode are implemented (which were missing before).
  • A tutorial on how to use symmetric functions in sage is included at the beginning of which is also accessible via
    sage: SymmetricFunctions??
  • Symmetric functions should now work a lot better with respect to specializing parameters like q and t for Hall-Littlewood, Jack and Macdonald symmetric functions. Certain functionalities before this change were broken or not possible.
  • Documentation was added to LLT polynomials (which had very sparse documentation previously).
  • The k-bounded subspace of the ring of symmetric function was implemented. The k-Schur functions now live in the k-bounded subspace rather than in the ring of symmetric functions as before.

This patch gained tremendously by the tutorial on symmetric functions written by Jason Bandlow and Nicolas Thiery, a draft on the k-bounded subspace by Jason Bandlow, and code multiple realizations written by Franco Saliola.

See also:

Change History (5)

comment:1 Changed 13 years ago by nthiery

  • Description modified (diff)

comment:2 Changed 13 years ago by nthiery

  • Cc sage-combinat added

comment:3 Changed 9 years ago by aschilling

  • Dependencies set to 13109
  • Report Upstream set to N/A

comment:4 Changed 9 years ago by aschilling

  • Dependencies 13109 deleted

comment:5 Changed 9 years ago by aschilling

  • Authors set to Mike Zabrocki, Anne Schilling
  • Description modified (diff)
  • Keywords symmetric functions sd38 sd40 added
  • Reviewers set to Dan Bump, Franco Saliola
  • Summary changed from Refactor symmetric functions to Refactor symmetric functions and k-bounded subspace
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