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| arXiv:0811.4770 |
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Title: Some equivariant constructions in noncommutative algebraic geometry
Authors: Zoran Škoda
Categories: math.AG Algebraic Geometry (math.CT Category Theory)
Comments: 20 pages, surveys basics of my long term project; v2: major revision in all parts; last section on search for Leibniz groups has been omitted, but its improved version can be found on my webpage at http://www.irb.hr/korisnici/zskoda/leibnizManifesto.pdf
MSC: 14A22; 16W30; 18D10
Journal reference: Georgian Mathematical Journal 16 (2009), No. 1, 183--202
Abstract: We here present rudiments of an approach to geometric actions in
noncommutative algebraic geometry, based on geometrically admissible actions of
monoidal categories. This generalizes the usual (co)module algebras over Hopf
algebras which provide affine examples. We introduce a compatibility of
monoidal actions and localizations which is a distributive law. There are
satisfactory notions of equivariant objects, noncommutative fiber bundles and
quotients in this setup.
Owner: Zoran Skoda
Version 1: Fri, 28 Nov 2008 19:11:40 GMT
Version 2: Mon, 9 Feb 2009 20:31:23 GMT
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