Timeline for Geometric models for classifying spaces of $GLn(Fq)$.
Current License: CC BY-SA 2.5
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Jul 31, 2010 at 14:18 | answer | added | Richard Borcherds | timeline score: 3 | |
| Jul 31, 2010 at 5:20 | comment | added | Dev Sinha | The other thought is that there might be a poset/ simplicial construction which is geometrically defined - say built from the poset of finite-dimensional subspaces of (F_q)^\infty under inclusion or perhaps from some matroid theory. | |
| Jul 31, 2010 at 4:22 | comment | added | Dev Sinha | I have a couple thoughts about possible sources of such models. One is that sometimes models of BAut_C X where C is some category can be of the form "embeddings of X in a universal, contractible C-object." Examples include symmetric groups (BS_n = embeddings of points in R^\infty), general linear groups (linear embeddings of a vector space in a universal vector space (also works for G-actions)), and diffeomorphism groups (subsets of R^\infty diffeomorphic to a fixed manifold = embeddings modulo diffeomorphisms). Of course, universal F_q vector spaces are discrete... | |
| Jul 31, 2010 at 4:15 | history | edited | Dev Sinha | CC BY-SA 2.5 |
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| Jul 29, 2010 at 19:38 | history | edited | Dev Sinha | CC BY-SA 2.5 |
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| Jul 29, 2010 at 19:30 | history | asked | Dev Sinha | CC BY-SA 2.5 |