Changes between Initial Version and Version 1 of Ticket #14901


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Timestamp:
07/17/13 14:11:30 (9 years ago)
Author:
tscrim
Comment:

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  • Ticket #14901 – Description

    initial v1  
    11Initial implementation of Lie algebras in sage.
     2
     3This will contain the following:
     4
     5- Free Lie algebras in the Hall basis
     6- Abelian Lie algebras
     7- Lie algebras from an associative algebra
     8- Lie algebras from structure coefficients
     9- Finite type Lie algebras
     10  - As matrices for types ABCD
     11  - In the Chevalley basis
     12- gl_n
     13- The Lie algebra of strictly upper triangular matrices
     14- The Lie algebra of upper triangular matrices
     15- Untwisted affine Lie algebras constructed from a finite type
     16- Untwisted affine Kac-Moody Lie algebras (i.e. the above + the Lie derivative)
     17- Universal enveloping algebras
     18
     19There might also be the following:
     20
     21- The Lyndon basis for the free Lie algebra
     22- su_n
     23- Kac-Moody algebras based only on a (generalized) Cartan matrix
     24
     25With this, one will be able to do basic computations, as well as compute things such as the lower central series (depending on the type).