Double Vogan diagrams and semisimple symmetric spaces
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- by Meng-Kiat Chuah and Jing-Song Huang PDF
- Trans. Amer. Math. Soc. 362 (2010), 1721-1750 Request permission
Abstract:
A Vogan diagram is a set of involution and painting on a Dynkin diagram. It selects a real form, or equivalently an involution, from a complex simple Lie algebra. We introduce the double Vogan diagram, which is two sets of Vogan diagrams superimposed on an affine Dynkin diagram. They correspond to pairs of commuting involutions on complex simple Lie algebras, and therefore provide an independent classification of the simple locally symmetric pairs.References
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Additional Information
- Meng-Kiat Chuah
- Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan
- Email: chuah@math.nthu.edu.tw
- Jing-Song Huang
- Affiliation: Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
- MR Author ID: 304754
- Email: mahuang@ust.hk
- Received by editor(s): February 9, 2007
- Published electronically: November 18, 2009
- Additional Notes: The first author was supported in part by the National Center for Theoretical Sciences and the National Science Council of Taiwan.
The second author was supported in part by research grants from the Research Grant Council of HKSAR and the National Natural Science Foundation of China - © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 1721-1750
- MSC (2000): Primary 17B20, 53C35
- DOI: https://doi.org/10.1090/S0002-9947-09-04895-8
- MathSciNet review: 2574875