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Autor:
Benjamin M. S. Martin
Publikováno v:
jgth. 14:947-963
Let F be a finitely generated group and let G be a linear algebraic group over an algebraically closed field k. Let R(F, G) be the variety of representations of F in G. Given a finite set of generators Δ for F, we define a compactification RΔ(F, )
Autor:
Benjamin M. S. Martin
Publikováno v:
Geometriae Dedicata. 86:19-27
Let Π be the fundamental group of a closed orientable surface of genus g ≥ 1, and let R(Π, G)/G be the space of conjugacy classes of representations of Π into a connected real reductive Lie group G. Motivated by the theory of geometric quantizat
Publikováno v:
Duke Math. J. 128, no. 3 (2005), 541-557
We prove that the number of conjugacy classes of maximal subgroups of bounded order in a finite group of Lie type of bounded rank is bounded. For exceptional groups this solves a long-standing open problem. The proof uses, among other tools, some met