Hopf quivers and Nichols algebras in positive characteristic-Reference-Cited by-同舟云学术

Hopf quivers and Nichols algebras in positive characteristic

Published:2009-07-23 Issue:12 Volume:137 Page:4029-4041
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cibils Claude,Lauve Aaron,Witherspoon Sarah

Abstract

We apply a combinatorial formula of the first author and Rosso for products in Hopf quiver algebras to determine the structure of Nichols algebras. We illustrate this technique by explicitly constructing new examples of Nichols algebras in positive characteristic. We further describe the corresponding Radford biproducts and some liftings of these biproducts, which are new finite-dimensional pointed Hopf algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2009-137-12/S0002-9939-09-10001-1/S0002-9939-09-10001-1.pdf

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