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Admissible Square Quadruplets and Semisimple Symmetric Spaces
Authors:Jing-Song Huang
Affiliation:Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, Chinaf1E-mail: mahuang@ust.hkf1
Abstract:We show that there is a one to one correspondence between the set of semisimple locally symmetric spaces and the set of admissible square quadruplets. This correspondence leads to a new approach in the classification and a simple parametrization of irreducible locally symmetric spaces.
Keywords:semisimple symmetric spaces   admissible square quadruplets   locally symmetric pairs
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