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CONJUGACY CLASSIFICATION CARTAN SUBGROUPS OF L-GROUPS

CONJUGACY CLASSIFICATION CARTAN SUBGROUPS OF L-GROUPS
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摘要 Let G be a connected complex reductive algebraic groups. The dual group ~LG^0 of G is an algebraic group whose simple root system π~v is the dual of the simple root system π of G and whose characteristic lattice is just the dual lattice X_*(T) of the characteristic lattice X~*(T)of G, where T is a given maximal torus of G and the simple root system π corresponds to a Borel subgroup B containing T. For the detail of the definition of a dual group see Ref. [1]. <正> Let G be a connected complex reductive algebraic groups. The dual group ~LG^0 of G is an algebraic group whose simple root system π~v is the dual of the simple root system π of G and whose characteristic lattice is just the dual lattice X_*(T) of the characteristic lattice X~*(T)of G, where T is a given maximal torus of G and the simple root system π corresponds to a Borel subgroup B containing T. For the detail of the definition of a dual group see Ref. [1].
作者 侯自新
出处 《Chinese Science Bulletin》 SCIE EI CAS 1992年第1期6-8,共3页
基金 Project supported in part by the National Natural Science Foundation of China and K. C. Wong Education Foundation.
关键词 REDUCTIVE GROUP L-group CARTAN subgroup. REDUCTIVE GROUP L-GROUP CARTAN SUBGROUP
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