QuantumGroups`: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
| Line 3: | Line 3: | ||
==Installation== |
==Installation== |
||
If you're using QuantumGroup` from inside KnotTheory`, you |
If you're planning on using QuantumGroup` from inside KnotTheory`, you just have to execute <code><<QuantumGroups`</code> after loading the KnotTheory` package. Otherwise, you'll first need to add it to the path (that is, add the directory containing QuantumGroups.m to $Path), and then execute <code><<QuantumGroups`</code>. |
||
==Examples of use== |
==Examples of use== |
||
Revision as of 17:45, 28 May 2007
Download
For now, QuantumGroups` is only available from its SVN repository (about SVN), or as a subpackage of KnotTheory`.
Installation
If you're planning on using QuantumGroup` from inside KnotTheory`, you just have to execute <<QuantumGroups` after loading the KnotTheory` package. Otherwise, you'll first need to add it to the path (that is, add the directory containing QuantumGroups.m to $Path), and then execute <<QuantumGroups`.
Examples of use
Root systems
Weyl groups
Weight multiplicities and tensor product decomposition
Explicit bases, and matrix presentations
Generators and relations of quantum groups
Action of the braided coxeter group on the quantum group
Quantum root operators
R-matrices
Quantum knot invariants
Things to do
- PBW basis for the quantum group
- Special bases for representations
- Gelfand-Tsetlin basis for type A
- Canonical bases
- Web bases for , , ,
