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Results tagged with weyl-group
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user 9970
The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
3
votes
1
answer
860
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'Generalised' coinvariant algebras
Let $\mathfrak{g}$ be a simple complex Lie algebra, and $\mathfrak{h}\subset\mathfrak{g}$ a Cartan subalgebra with Weyl group $W$. Consider the fibre product $\mathfrak{h}\times_{\mathfrak{g}} N$, whe …
- 1,201
4
votes
About the intrinsic definition of the Weyl group of complex semisimple Lie algebras
Yes: this is the approach to defining the 'abstract Weyl group' introduced in "Representation Theory and Complex Geometry" by Chriss/Ginzburg on p. 135 (2nd Edition, Birkhauser).
- 1,201