Direct Limits of Diagonal Chains of Type O,U, and Sp,and Their Homotopy Groups |
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| Authors: | Katharina Kühn |
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| Affiliation: | 1. Max-Planck-Institute for Mathematics in the Science , Leipzig, Germany kuehn@mis.mpg.de |
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| Abstract: | ABSTRACT Baranov and Zhilinskii (1999 Baranov , A. A. , Zhilinskii , A. G. ( 1999 ). Diagonal direct limits of simple Lie algebras . Comm. Algebra 27 ( 6 ): 2749 – 2766 [CSA] [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) have shown a classification theorem for diagonal direct limits of simple Lie algebras. In this work, we will transfer their results to diagonal direct limits of certain matrix groups, and show that homotopy groups are significant invariants for specific classes of direct limit groups. Communicated by B. Allison |
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| Keywords: | Direct limit Homotopy groups Lie algebra Lie group |
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