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On the homological construction of the steinberg representation

✍ Scribed by Ahmed A. Khammash


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
262 KB
Volume
87
Category
Article
ISSN
0022-4049

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✍ G. Lusztig πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 419 KB

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

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✍ Sheila Sundaram; Volkmar Welker πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 332 KB

In this note we give a description of the representation of the wreath product S n [G] of the symmetric group S n and a finite group G on the homology of the product of n copies of a partially ordered set (poset for short) P on which G acts as a group of automorphisms. In the sequel all posets will