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Cycles in the Chamber Homology of GL(3) |
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| Authors: | Anne-Marie Aubert Samir Hasan and Roger Plymen |
| Institution: | (1) Institut de Mathématiques de Jussieu, U.M.R. 7586 du C.N.R.S., 175 rue du Chevaleret, 75013 Paris, France;(2) Department of Pure Mathematics, Faculty of Sciences, University of Damascus, Damascus, S.A.R., Syria;(3) School of Mathematics, Manchester University, M13 9PL Manchester, England |
| Abstract: | Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3). |
| Keywords: | General linear group GL(3) Chamber homology Cycles K-theory Parahoric types Bernstein decomposition |
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