Homological Computations in PBW Modules
✍ Scribed by José L. Bueso; J. Gómez-Torrecillas; F.J. Lobillo
- Book ID
- 110302680
- Publisher
- Springer Netherlands
- Year
- 2001
- Tongue
- English
- Weight
- 151 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1386-923X
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📜 SIMILAR VOLUMES
Let Uq(g) be the quantized enveloping algebra corresponding to the semisimple Lie algebra g. We describe algorithms to obtain the multiplication table of a PBW-type basis of Uq(g). We use this to obtain an algorithm for calculating a Gröbner basis of an ideal in the subalgebra U -, which leads to a
Constructive methods based on the Gr6bner bases theory have been used many times in commutative algebra over the past 20 years, in particular, they allow the computation of such important invariants of manifolds given by systems of algebraic equations as their Hilbert polynomials. In differential an