Relative PBW Type Theorems for Symmetrically Braided Hopf Algebras |
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| Authors: | Bogdan Ion |
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| Institution: | 1. Department of Mathematics , University of Pittsburgh , Pittsburgh , Pennsylvania , USA;2. Faculty of Mathematics and Computer Science, Algebra and Number Theory Research Center , University of Bucharest , Bucharest , Romania bion@pitt.edu |
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| Abstract: | We show that, for any irreducible symmetrically braided Hopf algebra over a field of characteristic zero, the associated graded algebra with respect to the coradical filtration is a braided symmetric algebra. Consequently, we obtain conditions for a braided Hopf algebra to be of Poincaré–Birkhoff–Witt (PBW) type as module over a braided Hopf subalgebra containing the coradical. |
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| Keywords: | Braided categories Hopf algebras |
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