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The rational
cohomology Hopf algebra of a generic Kac–Moody group
Zhao Xu-an and Gao Hongzhu |
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Vol. 305 (2020), No. 2, 757–766
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DOI: 10.2140/pjm.2020.305.757
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Abstract |
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In this paper we determine the rational homotopy type of the classifying space of a generic Kac–Moody group by computing its rational cohomology ring. As an application we determine the rational homology Hopf algebra of the generic Kac–Moody group. |
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Keywords
Kac–Moody group, classifying space, Hopf algebra
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Mathematical Subject Classification 2010
Primary: 55N45
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Milestones
Received: 15 April 2018
Revised: 2 April 2019
Accepted: 4 November 2019
Published: 29 April 2020
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Authors |
| Zhao Xu-an | |
| School of Mathematical
Sciences Beijing Normal University Key Laboratory of Mathematics and Complex Systems, Ministry of Education Beijing China |
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| Gao Hongzhu | |
| School of Mathematical
Sciences Beijing Normal University Key Laboratory of Mathematics and Complex Systems, Ministry of Education Beijing China |
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