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• W2019689815 abstract "The aim of this article is to use the so-called Cayley transform in order to compute the LS category of Lie groups and homogeneous spaces by giving explicit categorical open coverings. When applied to U(n), U(2n)/Sp(n) and U(n)/O(n) this method is simpler than those formerly known. We also show that the Cayley transform is related to height functions in Lie groups, allowing to give a local linear model of the set of critical points. As an application we give an explicit covering of Sp(2) by categorical open sets. The obstacles to generalize these results to Sp(n) are discussed." @default.
• W2019689815 created "2016-06-24" @default.
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• W2019689815 creator A5061925529 @default.
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• W2019689815 date "2010-12-01" @default.
• W2019689815 modified "2023-09-26" @default.
• W2019689815 title "Trace map, Cayley transform and LS category of Lie groups" @default.
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• W2019689815 doi "https://doi.org/10.1007/s10455-010-9239-8" @default.
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