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Decomposition of transvections: An algebro-geometric approach


Author: V. Petrov
Translated by: The AUTHOR
Original publication: Algebra i Analiz, tom 28 (2016), nomer 1.
Journal: St. Petersburg Math. J. 28 (2017), 109-114
MSC (2010): Primary 20G35
DOI: https://doi.org/10.1090/spmj/1440
Published electronically: November 30, 2016
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Abstract: A simple and uniform algebro-geometric proof is given for the decomposition of transvections for Chevalley groups in minuscule representations.


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Additional Information

V. Petrov
Affiliation: St. Petersburg State University, Chebyshev Laboratory, 29B 14th line V.O., 199178 St. Petersburg, Russia
Email: victorapetrov@googlemail.com

DOI: https://doi.org/10.1090/spmj/1440
Keywords: Decomposition of unipotents, minuscule representations
Received by editor(s): July 24, 2015
Published electronically: November 30, 2016
Additional Notes: This work is supported by Russian Science Foundation, grant 14-11-00297
Article copyright: © Copyright 2016 American Mathematical Society