Part of the Trends in Mathematics book series (TM)
On Nichols Algebras with Generic Braiding
We extend the main result of [AS3] to braided vector spaces of generic diagonal type using results of Heckenberger.
KeywordsQuantized enveloping algebras Nichols algebras automorphisms of non-commutative algebras
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- [AS2]N. Andruskiewitsch and H.-J. Schneider, Pointed Hopf Algebras, in “New directions in Hopf algebras”, 1–68, Math. Sci. Res. Inst. Publ. 43, Cambridge Univ. Press, Cambridge, 2002.Google Scholar
- [H3]I. Heckenberger, Rank 2 Nichols algebras with finite arithmetic root system. Algebr. Represent. Theory, to appear.Google Scholar
- [R2]M. Rosso, Lyndon words and Universal R-matrices, talk at MSRI, October 26, 1999, available at http://www.msri.org; Lyndon basis and the multiplicative formula for R-matrices, preprint (2003).
© Birkhäuser Verlag Basel/Switzerland 2008