Descent of affine buildings - I. Large minimal angles
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- by Bernhard Mühlherr, Koen Struyve and Hendrik Van Maldeghem PDF
- Trans. Amer. Math. Soc. 366 (2014), 4345-4366 Request permission
Abstract:
In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits.
This first part lays the foundations for our approach and deals with the ‘large minimal angle’ case.
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Additional Information
- Bernhard Mühlherr
- Affiliation: Mathematics Institute, Universitat Giessen, 35392 Giessen, Germany
- Koen Struyve
- Affiliation: Department of Pure Mathematics, Ghent University, B-9000 Ghent, Belgium
- Hendrik Van Maldeghem
- Affiliation: Department of Pure Mathematics, Ghent University, B-9000 Ghent, Belgium
- Received by editor(s): January 19, 2012
- Received by editor(s) in revised form: September 23, 2012, and October 15, 2012
- Published electronically: April 16, 2014
- Additional Notes: The second author was supported by the Fund for Scientific Research – Flanders (FWO - Vlaanderen)
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 4345-4366
- MSC (2010): Primary 51E24, 20E42
- DOI: https://doi.org/10.1090/S0002-9947-2014-05985-0
- MathSciNet review: 3206462