Twisted Lie algebras and idempotent of Dynkin. (Q846050)
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scientific article; zbMATH DE number 5664867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twisted Lie algebras and idempotent of Dynkin. |
scientific article; zbMATH DE number 5664867 |
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Twisted Lie algebras and idempotent of Dynkin. (English)
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29 January 2010
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The author extends some results by \textit{F. Patras} and \textit{C. Reutenauer} [Adv.\ Appl.\ Math. 28, No. 3-4, 560-579 (2002; Zbl 1024.16021)] to twisted Hopf algebras over a field of characteristic zero. He proves a Baker-like identity for his extension of the Dynkin operator (Theorem~6.0.11) and describes a basis for the kernel of the operator (Corollary~6.0.13).
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twisted Hopf algebras
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twisted Lie algebras
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Dynkin idempotents
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