- (with H. Yamane)
Drinfel'd doubles and Shapovalov determinants

Preprint, October 2008 - (with H.-J. Schneider)
Root systems and Weyl groupoids for Nichols algebras

Preprint, July 2008 - (with M. Cuntz)
Weyl groupoids of rank two and continued fractions

Preprint, July 2008 - (with M. Cuntz)
Weyl groupoids with at most three objects

Preprint, May 2008. Accepted for publication in J. Pure Appl. Algebra - (with N.
Andruskiewitsch and H.-J. Schneider)
The Nichols algebra of a semisimple Yetter-Drinfeld module

Preprint, March 2008 -
Lusztig isomorphisms for Drinfel'd doubles
of Nichols algebras of diagonal type

Preprint, October 2007 - (with F. Spill,
A. Torrielli, and H. Yamane)
Drinfeld second realization of the quantum affine
superalgebras of D
^{(1)}(2,1;x) via the Weyl groupoid

In: RIMS Kôkyûroku Bessatsu B8 (2008), 171-216 - (with S. Kolb)
Differential forms via the Bernstein-Gelfand-Gelfand
resolution for quantized irreducible flag manifolds

J. Geom. Phys.**57**(2007), no. 11, 2316-2344. - (with H. Yamane)
A generalization of Coxeter groups, root systems,
and Matsumoto's theorem

Math. Z.**259**(2008) 255-276 -
(with M. Graña)
On a factorization of graded Hopf algebras using Lyndon words

J. Algebra**314**(2007) 324-343 -
Classification of arithmetic root systems

Adv. Math.**220**(2009) 59-124 - (with S. Kolb)
On the Bernstein-Gelfand-Gelfand resolution for
Kac-Moody algebras and quantized enveloping algebras

Transform. Groups**12**(2007), no. 4, 647-655 -
Nichols algebras of diagonal type and arithmetic root systems

Habilitation thesis, Leipzig, December 2005 -
(with A. Joseph) On the left and right BK-filtration

Preprint, Weizmann Institute, June 2006 -
Classification of arithmetic root systems of rank 3

In: Actas del "XVI Coloquio Latinoamericano de Álgebra" (Colonia, Uruguay, 2005), 227-252 -
Rank 2 Nichols algebras with finite arithmetic root system

Algebr. Represent. Theor.**11**(2008) 115-132 -
Weyl equivalence for rank 2 Nichols algebras of diagonal type

In: Ann. Univ. Ferrara - Sez. VII - Sc. Mat., Vol. LI, pp. 281-289 (2005) -
The Weyl groupoid of a Nichols algebra of diagonal type

Invent. Math.**164**(2006) 175-188 -
Examples of finite dimensional rank 2 Nichols algebras
of diagonal type

Compositio Math.**143**(2007) 165-190 -
Finite Dimensional Rank 2 Nichols Algebras of Diagonal Type II:
Classification

Preprint, April 2004. Will not be published. For similar results see the above paper*Rank 2 Nichols algebras ...* -
(with S. Kolb)
De Rham Complex for Quantized Irreducible Flag Manifolds

J. Algebra**305**(2006) 704-741 -
(with S. Kolb)
The Locally Finite Part of the Dual Coalgebra of Quantized
Irreducible Flag Manifolds

Proc. London Math. Soc.**89**(2004) 457-484 -
(with S. Kolb)
Differential Calculus on Quantum Homogeneous Spaces

Lett. Math. Phys.**63**(2003) 255-264 -
(with S. Kolb)
Podles' Quantum Sphere: Dual Coalgebra and Classification
of Covariant First Order Differential Calculus

J. Algebra**263**(2003) 193-214 -
(with S. Kolb)
Differential Calculus on Quantum Complex
Grassmann Manifolds II: Classification

Unpublished preprint, December 2001 -
Spin Geometry on Quantum Groups via Covariant Differential Calculi

Adv. Math.**175**(2003) 197-242 -
(with A. Schüler)
Laplace operator and Hodge decomposition for quantum groups
and quantum spaces

Czech. J. Phys.**51**(2001) 1342-1347 -
(with A. Schüler)
De Rham Cohomology and Hodge Decomposition for Quantum Groups

Proc. London Math. Soc.**83**(3) (2001) 743-768 -
Classification of Left-Covariant Differential Calculi
on the Quantum Group SL
(2)_{q}

Journal of Algebra**237**(2001) 203-237 -
(with A. Schüler)
On FRT-Clifford algebras

Adv. Appl. Clifford Algebras**10**(2000) 267-296 -
(with A. Schüler)
Symmetrizer and Antisymmetrizer of the
Birman-Wenzl-Murakami Algebras

Lett. Math. Phys.**50**(1999) 45-51 -
Hodge and Laplace-Beltrami Operators for Bicovariant Differential
Calculi on Quantum Groups

Compositio Math.**123**(2000) 329-354 -
(with A. Schüler)
Exterior Algebras Related to the Quantum Group
O(O
(3))_{q}

Czech. J. Phys.**48**(1998) 1355-1362 -
Bikovariante Differentialkalküle erster Ordnung und
Levi-Civita-Zusammenhünge auf Quantengruppen

PhD thesis, Leipzig, October 1998 -
(with K. Schmüdgen)
Classification of Bicovariant Differential Calculi on the
Quantum Groups SL
(_{q}*n*+1) and Sp(2_{q}*n*)

J. reine angew. Math.**502**(1998) 141-162 -
(with A. Schüler)
Higher Order Differential Calculus on SL
(_{q}*N*)

Czech. J. Phys.**47**(1997) 1153-1161 -
(with K. Schmüdgen)
Bicovariant Differential Calculi on SL
(_{q}*N*) and Sp(_{q}*N*)

Czech. J. Phys.**47**(1997) 1145-1151 -
(with K. Schmüdgen)
Levi-Civita Connections on the Quantum Groups
SL
(N), O_{q}(N) and Sp_{q}(N)_{q}

Comm. Math. Phys.**185**(1997) 177-196 -
Darstellungen von Quantengruppen bei Einheitswurzeln.

Diploma thesis, Leipzig, 1993