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Cohomology of Coxeter groups by Mario Salvetti is a Mathematics article available to read on EtoBox.
What is Cohomology of Coxeter groups about?
Let W be a finitely generated Coxeter group. We describe a method which is useful in computing the cohomology of W with local coefficients. It is based on the determination of an explicit combinatorial resolution of Z over Z[W ] (developed in a previous paper) which grows polynomially with the dimension. Let S be a Coxeter set of generators for W : in dimension k, the rank of the resolution equals the number of flags having cardinality k, while the coboundary is explicitly given in terms of minimal coset representatives of W . Here we use such a method in order to produce some cohomologies in the cases of dihedral groups and symmetric groups.
Who reads Cohomology of Coxeter groups?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Mario Salvetti
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0166-8641)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)