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Motivated by work of Kac and Lusztig, we define a root system and a Weyl groupoid for a large class of semisimple Yetter-Drinfeld modules over an arbitrary Hopf algebra.
N. Bourbaki, Groupes et algèbres de Lie, ch. 4, 5 et 6 , Éléments de mathématique, Hermann, Paris, 1968
1968
Earlier work this paper cites.
1989
Earlier work this paper cites.
V.G. Kac, Infinite dimensional Lie algebras , Cambridge Univ. Press, 1990
1990
Earlier work this paper cites.
G. Lusztig, Introduction to quantum groups , Birkhäuser, Boston, MA, 1993
1993
Earlier work this paper cites.
S. Montgomery, Hopf algebras and their actions on rings , Amer. Math. Soc., Providence, RI, 1993
1993
Earlier work this paper cites.
S. Majid, Foundations of quantum group theory , Cambridge University Press, 1995
1995
Earlier work this paper cites.
P. Schauenburg, A characterization of the borel-like subalgebras of quantum enveloping algebras , Comm. Algebra 24
1996
Earlier work this paper cites.
N. Andruskiewitsch and H.-J. Schneider, Lifting of quantum linear spaces and pointed Hopf algebras of order p 3 p^{3} , J. Algebra 209
1998
Cited alongside, same era.
V. Kharchenko, A quantum analogue of the Poincaré–Birkhoff–Witt theorem , Algebra and Logic 38
1999
Cited alongside, same era.
by same author, Finite quantum groups over abelian groups of prime exponent , Ann. Scient. Éc. Norm. Sup. 35
2002
Cited alongside, same era.
by same author, Pointed Hopf algebras , New Directions in Hopf Algebras, MSRI Publications, vol. 43, Cambridge University Press, 2002
2002
Cited alongside, same era.
by same author, On the classification of finite-dimensional pointed Hopf algebras , Accepted for publication in Ann. Math., Preprint math.QA/0502157 (2005), 43 pages
2005
Cited alongside, same era.
N. Andruskiewitsch and S. Zhang, On pointed Hopf algebras associated to some conjugacy classes in S n {S}_{n} , Proc. Amer. Math. Soc. (2007), 2723–2731
2007
Later among the works it cites.
M. Graña and I. Heckenberger, On a factorization of graded Hopf algebras using Lyndon words , J. Algebra 314
2007
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2008
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2008
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M. Cuntz and I. Heckenberger, Weyl groupoids with at most three objects , Preprint (2008), 31 pages
2008
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I. Heckenberger, Classification of arithmetic root systems , Preprint math.QA/0605795 (2006), 67 pages
2006
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by same author, The Weyl groupoid of a Nichols algebra of diagonal type , Invent. Math. 164
2006
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by same author, Rank 2 Nichols algebras with finite arithmetic root system , Algebr. Represent. Theory 11
2008
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I. Heckenberger and H. Yamane, A generalization of Coxeter groups, root systems, and Matsumoto’s theorem , Math. Z. 259
2008
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