#20029: Implement quantum matrix coordinate algebras
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: algebra | Resolution:
Keywords: quantum, | Merged in:
coordinate ring | Reviewers: Daniel Bump, Valentin
Authors: Travis Scrimshaw | Buciumas
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/algebras/quantum_matrix_coordinate_ring-20029|
6772f0c377b9eab5b4e0d67652b1493e8adb6d7d
Dependencies: | Stopgaps:
-------------------------------------+-------------------------------------
Comment (by tscrim):
Thank you both for looking at this!
It's not hard to implement the quantum affine space, but I don't think we
currently have a framework for comodules. We do have the basic
infrastructure to do this though. However, I agree that this would be a
good thing to implement; perhaps on a follow up ticket.
I will add the reference and a note about the q-convention. Does the
antipode extend to GL,,q,,(n)? From FRT (well, at least
[http://www.ms.unimelb.edu.au/~ram/Resources/Reshetikhin/QuantizationOfLieGroupsAndLieAlgebras.html
Ram's version]), it is only given for SL,,q,,(n). Just to let you know,
one of my main motivations for implementing this was to look at the
crystal basis (see http://arxiv.org/abs/math/0509651).
--
Ticket URL: <http://trac.sagemath.org/ticket/20029#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
