Galois actions and blocks of tame infinitesimal group schemes
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- by Rolf Farnsteiner and Andrzej Skowroński PDF
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Abstract:
Given an infinitesimal group $\mathcal {G}$, that is defined over an algebra- ically closed field of characteristic $p \ge 3$, we determine the block structure of the algebra of measures $H(\mathcal {G})$ in case its principal block $\mathcal {B}_0(\mathcal {G})$ is tame and the height of the factor group $\mathcal {G}/\mathcal {M}(\mathcal {G})$ of $\mathcal {G}$ by its multiplicative center $\mathcal {M}(\mathcal {G})$ is at least two. Our results yield a complete description of the stable Auslander-Reiten quiver of $H(\mathcal {G})$ along with a criterion for the domesticity of $H(\mathcal {G})$.References
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Additional Information
- Rolf Farnsteiner
- Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany
- MR Author ID: 194225
- Email: rolf@mathematik.uni-bielefeld.de
- Andrzej Skowroński
- Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
- Email: skowron@mat.uni.torun.pl
- Received by editor(s): November 15, 2004
- Received by editor(s) in revised form: July 25, 2005
- Published electronically: July 20, 2007
- Additional Notes: This work was supported by Polish Scientific Grant KBN No. 1 PO3A 018 27
- © Copyright 2007 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 359 (2007), 5867-5898
- MSC (2000): Primary 16G70; Secondary 14L15, 16G20, 16G60, 16W20, 16W30, 17B50
- DOI: https://doi.org/10.1090/S0002-9947-07-04124-4
- MathSciNet review: 2336308