Lectures on how to compute Lusztig's q-analogue of weight multiplicity
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overview
- Bourbaki ordering
- Cartan matrix
- representation of basic objects
- how to represent an element of the root lattice
- how to represent an element of the weight lattice
- how to represent an element of the Weyl group
- action of Weyl group on root lattice
- action of Weyl group on weight lattice
- how to generate all positive roots
- how to generate elements of the Weyl group
- conversion of coordinates from root basis to weight basis and vice versa
- inverse of Cartan matrix
- computation of Kostant partition function
- q-weight multiplicity