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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Spin norm, pencils, and the u-small convex hull
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by Chao-Ping Dong PDF
Proc. Amer. Math. Soc. 144 (2016), 999-1013 Request permission

Abstract:

Let $\mathfrak {g}$ be any finite-dimensional complex simple Lie algebra. In this paper, we show that the spin norm increases strictly along any pencil once it goes beyond the u-small convex hull of $\mathfrak {g}$.
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Additional Information
  • Chao-Ping Dong
  • Affiliation: Institute of Mathematics, Hunan University, Changsha 410082, People’s Republic of China
  • MR Author ID: 850664
  • Email: chaoping@hnu.edu.cn
  • Received by editor(s): February 10, 2015
  • Received by editor(s) in revised form: March 17, 2015
  • Published electronically: August 5, 2015
  • Communicated by: Kailash C. Misra
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 999-1013
  • MSC (2010): Primary 17B20, 05E18
  • DOI: https://doi.org/10.1090/proc/12798
  • MathSciNet review: 3447654