q(n)-crystal on shifted primed tableaux

[sagetrac-emarberg]

Currently crystals.ShiftedPrimedTableaux implements a gl(n)-crystal structure on shifted primed tableaux. The goal of this ticket is to upgrade this to a slightly more general q(n)-crystal structure. This involves implementing one additional set of "queer" crystal operators.

CC: @anneschilling @sagetrac-wpoh

Component: combinatorics

Keywords: fpsac2019

Author: Eric Marberg

Branch: c53db97

Reviewer: Anne Schilling

Issue created by migration from https://trac.sagemath.org/ticket/28141

[sagetrac-emarberg]

Changed author from emarberg to Eric Marberg

[sagetrac-emarberg]

Branch: u/emarberg/q_n__crystal_on_shifted_primed_tableaux

[sagetrac-emarberg]

New commits:

6d2b8e1	implemented queer lowering operator and tests
4e7e6da	implemented queer raising operator and tests
b7fe56f	change from 0-index to -1-index
3d3177e	added Assaf and Oguz reference

[sagetrac-emarberg]

Commit: 3d3177e

[sagetrac-git]

Changed commit from 3d3177e to 3a0e152

[sagetrac-git]

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

3a0e152

changed cartan type from A to Q (for finite rank) and added doc test

[sagetrac-git]

Changed commit from 3a0e152 to b8e2548

[sagetrac-git]

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

b8e2548

undo one unnecessarily changed line

[sagetrac-emarberg]

Reviewer: Anna Schilling

[anneschilling]

Changed reviewer from Anna Schilling to Anne Schilling

[sagetrac-git]

Changed commit from b8e2548 to 815573a

[sagetrac-git]

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

815573a

fixed A_infty test, added bigger crystal test

[anneschilling]

comment:10

Looks good!

---

New commits:

815573a

fixed A_infty test, added bigger crystal test

[anneschilling]

Changed keywords from none to fpsac2019

[fchapoton]

comment:12

No positive review with a red branch, please.

[tscrim]

comment:13

The merging on trac is less forgiving than on our computers. Trivial rebase.

[tscrim]

Changed branch from u/emarberg/q_n__crystal_on_shifted_primed_tableaux to public/crystals/q_n_crystal_on_shifted_primed_tableaux-28141

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1 and set ticket back to needs_review. New commits:

c53db97

Merge branch 'develop' into u/emarberg/q_n__crystal_on_shifted_primed_tableaux

[sagetrac-git]

Changed commit from 815573a to c53db97

[vbraun]

Changed branch from public/crystals/q_n_crystal_on_shifted_primed_tableaux-28141 to c53db97

[fchapoton]

comment:17

Too late, but this :

if len(two_primes) == 0:

could have been simplified to

if not two_primes:

which is faster.

[fchapoton]

Changed commit from c53db97 to none