New techniques for pointed Hopf algebras

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1977

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}

1998

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S. Fomin and K. N. Kirillov, Quadratic algebras, Dunkl elements, and Schubert calculus

1999

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by same author, Finite quantum groups and Cartan matrices

2000

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M. Graña, On Nichols algebras of low dimension , Contemp. Math. 267

2000

Earlier work this paper cites.

A. Milinski and H-J. H.-J. Schneider, Pointed Indecomposable Hopf Algebras over Coxeter Groups , Contemp. Math. 267

2000

Cited alongside, same era.

by same author, Pointed Hopf Algebras , in “New directions in Hopf algebras”, 1–68, Math. Sci. Res. Inst. Publ. 43

2002

Cited alongside, same era.

N. Andruskiewitsch and M. Graña, From racks to pointed Hopf algebras , Adv. Math. 178

2003

Cited alongside, same era.

I. Heckenberger, The Weyl groupoid of a Nichols algebra of diagonal type

2006

Cited alongside, same era.

N. Andruskiewitsch and F. Fantino, On pointed Hopf algebras associated with unmixed conjugacy classes in 𝕊 m \mathbb{S}_{m} , J. Math. Phys. 48

2007

Cited alongside, same era.

N. Andruskiewitsch, F. Fantino, M. Graña and L. Vendramin, On pointed Hopf algebras associated to sporadic groups , in preparation

Cited in the paper.

N. Andruskiewitsch, F. Fantino and S. Zhang, On pointed Hopf algebras associated to symmetric groups , arXiv:0807.2406v2 [math.QA]

Original

Cited in the paper.

N. Andruskiewitsch, I. Heckenberger and H.-J. Schneider, The Nichols algebra of a semisimple Yetter-Drinfeld module

Original

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by same author, On the classification of finite-dimensional pointed Hopf algebras

Cited in the paper.

F. Fantino, On pointed Hopf algebras associated with Mathieu groups , arXiv: 0711.3142v2 [math.QA]

Cited in the paper.

S. Freyre and L. Vendramin, On Nichols algebras over 𝐏𝐒𝐋 ⁡ ( 2 , 𝔽 q ) \mathbf{PSL}(2,\mathbb{F}_{q}) and 𝐏𝐆𝐋 ⁡ ( 2 , 𝔽 q ) {\mathbf{PGL}(2,\mathbb{F}_{q})} , arXiv:0802.2567v1 [math.QA]

Original

Cited in the paper.

by same author, Finite dimensional Nichols algebras of non-diagonal group type, zoo of examples available at http://mate.dm.uba.ar/ matiasg/zoo.html

Cited in the paper.

by same author, On pointed Hopf algebras associated with alternating and dihedral groups , Rev. Unión Mat. Argent. 48-3, (2007), 57-71,

2007

Later among the works it cites.

N. Andruskiewitsch and S. Zhang, On pointed Hopf algebras associated to some conjugacy classes in 𝕊 n \mathbb{S}_{n} , Proc. Amer. Math. Soc. 135 (2007), 2723-2731

2007

Later among the works it cites.

S. Freyre, M. Graña and L. Vendramin, On Nichols algebras over 𝐆𝐋 ⁡ ( 2 , 𝔽 q ) \mathbf{GL}(2,\mathbb{F}_{q}) and 𝐒𝐋 ⁡ ( 2 , 𝔽 q ) {\mathbf{SL}(2,\mathbb{F}_{q})} , J. Math. Phys. 48

2007

Later among the works it cites.

by same author, Álgebras de Hopf punteadas sobre grupos no abelianos . Tesis de doctorado, Universidad Nacional de Córdoba (2008). www.mate.uncor.edu/

2008

Closest in time.