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Hopf quivers and Nichols algebras in positive characteristic
Author(s):
Claude
Cibils;
Aaron
Lauve;
Sarah
Witherspoon
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4029-4041.
MSC (2000):
Primary 16W30
Posted:
July 23, 2009
MathSciNet review:
2538564
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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.
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Additional Information:
Claude
Cibils
Affiliation:
Institut de Mathématiques et de Modélisation de Montpellier, Université Montpellier 2, F-34095 Montpellier Cedex 5, France
Email:
Claude.Cibils@math.univ-montp2.fr
Aaron
Lauve
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email:
lauve@math.tamu.edu
Sarah
Witherspoon
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email:
sjw@math.tamu.edu
DOI:
10.1090/S0002-9939-09-10001-1
PII:
S 0002-9939(09)10001-1
Received by editor(s):
January 23, 2009,
Received by editor(s) in revised form:
April 13, 2009
Posted:
July 23, 2009
Additional Notes:
The second and third authors were partially supported by Texas Advanced Research Program Grant #010366-0046-2007.
The third author was partially supported by NSA grant H98230-07-1-0038 and NSF grant DMS-0800832.
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2009,
American Mathematical Society
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