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Homotopy type of the boolean complex of a Coxeter system

✍ Scribed by Kári Ragnarsson; Bridget Eileen Tenner


Book ID
108051684
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
216 KB
Volume
222
Category
Article
ISSN
0001-8708

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📜 SIMILAR VOLUMES


A q-Analog of the Coxeter Complex
✍ A. Mathas 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 739 KB

In this paper a \(q\)-analogue of the Coxeter complex of a finite Coxeter group \(W\) is constructed for the (generic) Hecke algebra \(\mathscr{H}\) associated to \(W\). It is shown that the homology of this chain complex, together with that of its truncations, vanishes away from top dimension. The