Abstract
The class of standard braided vector spaces, introduced by Andruskiewitsch and the author in 2007 to understand the proof of a theorem of Heckenberger, is slightly more general than the class of braided vector spaces of Cartan type. In the present paper, we classify standard braided vector spaces with finite-dimensional Nichols algebra. For any such braided vector space, we give a PBW basis, a closed formula of the dimension and a presentation by generators and relations of the associated Nichols algebra.
Citation
Iván Angiono. "Nichols algebras with standard braiding." Algebra Number Theory 3 (1) 35 - 106, 2009. https://doi.org/10.2140/ant.2009.3.35
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