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Prof. Simon Lentner
Algebra and Number Theory (AZ), University Hamburg
Bundesstraße 55, 20146 Hamburg
+49 (0)40 42838 5194
simon.lentner@uni-hamburg.de

PDF: CV, Publications, Talks, Teaching

Publications: (all publication on arXiv) 

Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications (with J. Priel),
Bull. Belg. Math. Soc. Simon Stevin 24 (2017), p. 1-34. arXiv:1702.05133

A simplicial complex of Nichols algebras (with M. Cuntz, Hannover),
Mathematische Zeitschrift 285, 3-4 (2017) p. 647-683. arXiv:1503.08117

New R-matrices for small quantum groups (with D. Nett, Hamburg),
Algebras and Representation Theory 18/6 (2015), p. 1649-1673. arXiv:1409.5824

A Frobenius homomorphism for Lusztig's quantum groups over arbitrary roots of unity,
Communications in Contemporary Mathematics 18/3 (2015). arXiv:1406.0865.

Partially Dualized Hopf Algebras Have Equivalent Yetter-Drinfel'd Modules (with A. Barvels und C. Schweigert, Hamburg),
Journal of Algebra 430 (2015) p. 303-342, arXiv:1402.2214.

Root Systems In Finite Symplectic Vector Space,
Communications in Algebra, 43 (2015) p. 4446-4470. arXiv:1307.7151.

New Large-Rank Nichols Algebras Over Nonab. Groups With Commutator Subgroup Z_2,
Journal of Algebra 419 (2014) p. 1-33. arXiv:1306.5684.

Preprints:

Quantum groups and Nichols algebras acting on conformal field theories,
Preprint (2017), arXiv: 1702.06431

Constructing new Borel subalgebras of quantum groups with a non-degeneracy property (with K. Vocke),
Preprint (2017), arXiv: 1702.06223

The unrolled quantum group inside Lusztig's quantum group of divided powers,
Preprint (2017), arXiv:1702.05164

Factorizable R-matrices for small quantum groups (with T. Ohrmann),
Preprint (2016), arXiv:1612.07960

A decomposition of the Brauer-Picard group of the representation category of a finite group (with J. Priel),
Preprint (2015), arXiv:1506.07832 

On monoidal autoequivalences of the category of Yetter-Drinfeld modules over a group: The lazy case (with J. Priel)
Preprint (2015), arXiv:1511.03871

Nash Equilibria And Partition Functions Of Games With Many Dependent Players (with E. Kraus, Munich),
Preprint (2015), arXiv:1504.03965 

Quantum affine algebras at small root of unity,
Preprint (2014), arXiv:1411.2959

A theorem on roots of unity and a combinatorial principle (with D. Nett, Hamburg),
Preprint (2014), arXiv:1409.5822

Factorization Of Graded Traces On Nichols Algebras (with Dr. Lochmann, Marburg),
Preprint (2014), arXiv:1403.4287.

Theses:

Orbifoldizing Hopf- and Nichols Algebras,
PhD-Thesis, LMU Munich, 2012.

Vertex Algebras Constructed from Hopf Algebra Structures,
Diploma-Thesis, LMU Munich, 2007.