Prof. Simon Lentner
Algebra and Number Theory (AZ), University Hamburg
Bundesstraße 55, 20146 Hamburg
+49 (0)40 42838 5178

PDF: CV, Publications, Talks, Teaching

Publications: (on arXiv)

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  

A simplicial complex of Nichols algebras (with M. Cuntz, Hannover),
accepted for publication in Mathematische Zeitschrift,
Preprint (2015), arXiv:1503.08117 

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

New R-matrices for small quantum groups (with D. Nett, Hamburg),
Algebras and Representation Theory 18/6 (2015), p. 1649-1673.
Preprint (2014), arXiv:1409.5824

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

A Frobenius homomorphism for Lusztig's quantum groups over arbitrary roots of unity,
Communications in Contemporary Mathematics 18/3 (2015)
Preprint (2014), arXiv:1406.0865.

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

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,
Preprint (2014), arXiv:1402.2214.

Root Systems In Finite Symplectic Vector Space,
Communications in Algebra, 43 (2015) p. 4446-4470
Preprint (2013), arXiv:1307.7151.

New Large-Rank Nichols Algebras Over Nonab. Groups With Commutator Subgroup Z_2,
Journal of Algebra 419 (2014) p. 1-33,
Preprint (2013), arXiv:1306.5684


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

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