Tannakian Krull-Schmidt reduction

Balaji, V. ; Biswas, I. ; Nagaraj, D. S. (2006) Tannakian Krull-Schmidt reduction Journal für die Reine und Angewandte Mathematik, 2006 (590). pp. 227-230. ISSN 0075-4102

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Official URL: http://www.degruyter.com/view/j/crll.2006.2006.iss...

Related URL: http://dx.doi.org/10.1515/CRELLE.2006.009

Abstract

In this continuation of [V. Balaji, I. Biswas, and D. S. Nagaraj, Krull-Schmidt reduction for principal bundles, J. reine angew. Math. 578 (2005), 225-234.] we show that the theory of Tannakian categories gives a very transparent construction of the reduction of structure group, obtained in [V. Balaji, I. Biswas, and D. S. Nagaraj, Krull-Schmidt reduction for principal bundles, J. reine angew. Math. 578 (2005), 225-234.], of principal bundles. In fact, a more general construction which is valid for all algebraically closed fields is given.

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Deposited On:15 Feb 2012 05:12
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