Let W be the Weyl group of G. In this paper we give an explicit realization of the group ring Z[W ] inside the ring of integer valued constructible functions on Z (with multiplication given by convolution). In this realization, Z[W] comes equipped, in addition to its standard basis, with a remarkabl
Operations on constructible functions
β Scribed by Pierre Schapira
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 996 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
The class A of finite manuals (i.e. hypergraphs formed by the cliques of finite graphs) is closed under the formation of sums and products. We define the class of constructible hypergraphs to be the smallest subclass of A which contains all finite classical manuals (i.e. hypergraphs having a single
## Abstract A (finite or infinite) graph __G__ is __constructible__ if there exists a wellβordering β€ of its vertices such that for every vertex __x__ which is not the smallest element, there is a vertex __y__ < __x__ which is adjacent to __x__ and to every neighbor __z__ of __x__ with __z__ < __x_