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Geometric Parameters Corresponding to Representations of the Classical Groups with Integral Infinitesimal Characters

Geometric Parameters Corresponding to Representations of the Classical Groups with Integral Infinitesimal Characters
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摘要 In this paper we calculate the orbits of flag manifolds of the complex classical groups under the action of the sets of fixed points of Cartan involutions, and determine all the geometric parameters corresponding to representations of the classical groups with integral infinitesimal char- acters, which are used to discuss Arthur conjecture and the Langlands classification of the irreducible admissible representations of real classical groups(see[1]) In this paper we calculate the orbits of flag manifolds of the complex classical groups under the action of the sets of fixed points of Cartan involutions, and determine all the geometric parameters corresponding to representations of the classical groups with integral infinitesimal char- acters, which are used to discuss Arthur conjecture and the Langlands classification of the irreducible admissible representations of real classical groups(see[1])
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1996年第3期268-284,共17页 数学学报(英文版)
基金 National Natural Science Foundation of China Post-Doctor's Foundation of China.
关键词 Extended groups Strong real forms E-groups Geometric parameters Extended groups Strong real forms E-groups Geometric parameters
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