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Implement PBW bases for the universal enveloping algebra #16822

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tscrim opened this issue Aug 14, 2014 · 27 comments
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Implement PBW bases for the universal enveloping algebra #16822

tscrim opened this issue Aug 14, 2014 · 27 comments
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c: algebra p: major / 3 t: enhancement
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sage-8.0

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tscrim commented Aug 14, 2014

Part of #14901. Implements the PBW basis for a Lie algebra with computable structure coefficients.

Depends on #16820

CC: @bsalisbury1

Component: algebra

Keywords: lie algebras, days64

Author: Travis Scrimshaw

Branch/Commit: 394083b

Reviewer: Ben Salisbury

Issue created by migration from https://trac.sagemath.org/ticket/16822
@tscrim tscrim added this to the sage-6.4 milestone Aug 14, 2014
@tscrim tscrim self-assigned this Aug 14, 2014
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tscrim commented Mar 13, 2015

Branch: public/lie_algebras/PBW_basis-16822

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tscrim commented Mar 13, 2015

Changed dependencies from #16819 #16820 to #16820

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tscrim commented Mar 13, 2015

Commit: acf7a81

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tscrim commented Mar 13, 2015

Last 10 new commits:

980545eFixed the doc.
8a6950aMerge branch 'public/categories/lie_algebras-16819' of git://trac.sagemath.org/sage into lie1
9b08311a few questions to boot
5a0bc7dAnswering some questions.
144a5a5Small fix for the doc.
198f8a8Added new categories to documentation.
aeb6075Merge branch 'public/categories/lie_algebras-16819' into public/lie_algebras/fd_structure_coeff-16820
ece3cd9Added files to the documentation.
05dab33Merge branch 'public/lie_algebras/fd_structure_coeff-16820' into public/lie_algebras/PBW_basis-16822
acf7a81Added PBW basis for Lie algebras.

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sagetrac-git mannequin commented Mar 13, 2015

Branch pushed to git repo; I updated commit sha1. New commits:

4c38c01Added example for pbw_basis() method.

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sagetrac-git mannequin commented Mar 13, 2015

Changed commit from acf7a81 to 4c38c01

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sagetrac-git mannequin commented Mar 17, 2015

Changed commit from 4c38c01 to b5cae21

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sagetrac-git mannequin commented Mar 17, 2015

Branch pushed to git repo; I updated commit sha1. New commits:

4343505Merge branch 'develop' into public/lie_algebras/PBW_basis-16822
5197c7cMerge branch 'develop' into public/lie_algebras/fd_structure_coeff-16820
845e5aaSome last tweaks and getting full coverage.
b5cae21Merge branch 'public/lie_algebras/fd_structure_coeff-16820' into public/lie_algebras/PBW_basis-16822

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tscrim commented Mar 17, 2015

Changed keywords from lie algebras to lie algebras, days64

@tscrim tscrim modified the milestones: sage-6.4, sage-6.6 Mar 17, 2015
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sagetrac-git mannequin commented Oct 11, 2015

Changed commit from b5cae21 to d754f66

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sagetrac-git mannequin commented Oct 11, 2015

Branch pushed to git repo; I updated commit sha1. New commits:

d754f66fixed merge conflict

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kevindilks mannequin commented Oct 11, 2015

New commits:

d754f66fixed merge conflict

@kevindilks kevindilks mannequin modified the milestones: sage-6.6, sage-6.10 Oct 11, 2015
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sagetrac-git mannequin commented Jun 2, 2016

Changed commit from d754f66 to 374e786

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sagetrac-git mannequin commented Jun 2, 2016

Branch pushed to git repo; I updated commit sha1. Last 10 new commits:

6815f1creview heisenberg.py again; coercion still relies on unstaged changes to module morphisms
573e074Merge branch 'public/lie_algebras/fd_structure_coeff-16820' of trac.sagemath.org:sage into public/lie_algebras/fd_structure_coeff-16820
3f9a4a1Fixing the failing doctests and making the doc build.
b9930e6some changes to standardization of names
60f743aParsing the input so that it uses the indexing set.
a02380fMerge branch 'public/lie_algebras/fd_structure_coeff-16820' in 7.0.rc1
50f4441trac #16820 correct the spelling of Cartesian
f1514bdMerge branch 'public/lie_algebras/fd_structure_coeff-16820' into 7.3.b2
7d155ecFixing trivial doctest failures.
374e786Merge branch 'public/lie_algebras/PBW_basis-16822' of trac.sagemath.org:sage into public/lie_algebras/PBW_basis-16822

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sagetrac-git mannequin commented Mar 29, 2017

Changed commit from 374e786 to 49cf8ee

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sagetrac-git mannequin commented Mar 29, 2017

Branch pushed to git repo; I updated commit sha1. Last 10 new commits:

965c70btrac 16820 no more xrange
e8c5256Merge branch 'public/lie_algebras/fd_structure_coeff-16820' in 7.5.rc1
7c92fd1trac 16820 nonzero -> bool
a9d636cMerge branch 'public/lie_algebras/fd_structure_coeff-16820' in 7.6.b5
7bda1a4trac 16820 get rid of some .iteritems in py files
3e2c547Merge branch 'public/lie_algebras/fd_structure_coeff-16820' of git://trac.sagemath.org/sage into public/lie_algebras/fd_structure_coeff-16820
cf88feeChanges for the reviewer and using standard copyright.
42666d4Adding centralizer_basis method, improving to/from_vector for finite-dim Lie algebras, other fixes.
59df7ceFixing pdf docbuild in finite-dim Lie algebras w/ basis category.
49cf8eeMerge branch 'public/lie_algebras/PBW_basis-16822' of git://trac.sagemath.org/sage into public/lie_algebras/PBW_basis-16822

@tscrim tscrim modified the milestones: sage-6.10, sage-8.0 Mar 29, 2017
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sagetrac-git mannequin commented Apr 1, 2017

Changed commit from 49cf8ee to ed96e1d

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sagetrac-git mannequin commented Apr 1, 2017

Branch pushed to git repo; I updated commit sha1. New commits:

ed587afImplementing ideal checks and fixing product_space.
3baf33fMerge branch 'develop' into public/lie_algebras/fd_structure_coeff-16820
c0f01dfCache is_ideal and explaining doc what is clear from the code.
fc395c8Fixing typo.
64ab605Trivial fix by making docstring a raw string.
299a0b4Merge branch 'public/lie_algebras/PBW_basis-16822' of git://trac.sagemath.org/sage into public/lie_algebras/PBW_basis-16822
ed96e1dRemoving cmp in PBW bases.

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Reviewer: Ben Salisbury

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comment:12
----------------------------------------------------------------------
sage -t src/sage/algebras/lie_algebras/poincare_birkhoff_witt.py  # 27 doctests failed
----------------------------------------------------------------------

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sagetrac-git mannequin commented May 19, 2017

Branch pushed to git repo; I updated commit sha1. New commits:

3dca78bMerge branch 'develop' into t/16822/public/lie_algebras/PBW_basis-16822
66ce4a0Corrected documentation errors

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sagetrac-git mannequin commented May 19, 2017

Changed commit from ed96e1d to 66ce4a0

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sagetrac-git mannequin commented May 19, 2017

Branch pushed to git repo; I updated commit sha1. New commits:

394083bFixing failures in PBW algebras.

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sagetrac-git mannequin commented May 19, 2017

Changed commit from 66ce4a0 to 394083b

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tscrim commented May 19, 2017

comment:15

Most of those came from the change of what sl2 means. It also showed an inconsistency with the index set of the classical Lie algebras not being a FiniteEnumeratedSet (well, really something having a cardinality).

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comment:16

Math looks good, documentation looks good, all tests passed on my machine, and all documentation builds.

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vbraun commented May 20, 2017

Changed branch from public/lie_algebras/PBW_basis-16822 to 394083b

@vbraun vbraun closed this as completed in d567f99 May 20, 2017
@tscrim tscrim mentioned this issue Jun 17, 2022
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