منابع مشابه
Relative group completions
We extend arbitrary group completions to the category of pairs (G, N) where G is a group and N is a normal subgroup of G. Relative localizations are defined as special cases. Our construction is a group-theoretical analogue of fibrewise completion and fibrewise localization in homotopy theory, and generalizes earlier work on relative localization of groups at primes. We use our approach to find...
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Let Γg,n, for 2g − 2 + n > 0, be the Teichmüller group of an n-punctured genus g compact Riemann surface Sg,n and let Γ(l), for a prime l ≥ 2, be the abelian level defined by the kernel of the natural representation Γg,n → Sp2g(Z/l). The pro-l completion Γ(l)(l) of Γ(l) defines a profinite completion of Γg,n, which we call the relative pro-l completion and denote by Γ (l) g,n. There is a natura...
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In this paper, we describe the category of bi-equivariant vector bundles on a bi-equivariant smooth (partial) compactification of a reductive algebraic group with normal crossing boundary divisors. Our result is a generalization of the description of the category of equivariant vector bundles on toric varieties established by A. As an application, we prove splitting of equivariant vector bundle...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2005
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.10.023