Changes between Version 1 and Version 4 of Ticket #14901


Ignore:
Timestamp:
07/20/13 14:52:32 (9 years ago)
Author:
tscrim
Comment:

Other (poosible) additions:

  • LLT basis and Fock spaces for Uq(sln) (arbitrary g?)
  • implementation of the quantum group
  • connection between the quantum group and the Hall algebra (coming from representations of a quiver over Fq)
  • recovery of Lie group from Lie algebra (where it makes sense)
  • PBW(-type) bases of universal enveloping algebra (quantum group)
  • canonical bases of quantum groups

Legend:

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  • Ticket #14901

    • Property Cc darij bsalisbury1 added
  • Ticket #14901 – Description

    v1 v4  
    1010  - As matrices for types ABCD
    1111  - In the Chevalley basis
    12 - gl_n
     12- '''gl''',,n,,
    1313- The Lie algebra of strictly upper triangular matrices
    1414- The Lie algebra of upper triangular matrices
    1515- Untwisted affine Lie algebras constructed from a finite type
    16 - Untwisted affine Kac-Moody Lie algebras (i.e. the above + the Lie derivative)
     16- Untwisted affine Kac-Moody Lie algebras (i.e. the above and the Lie derivative)
    1717- Universal enveloping algebras
    1818
     
    2020
    2121- The Lyndon basis for the free Lie algebra
    22 - su_n
     22- '''su''',,n,,
    2323- Kac-Moody algebras based only on a (generalized) Cartan matrix
    2424