Dr. Simon Lentner

Algebra and Number Theory (AZ), University Hamburg

Bundesstraße 55, 20146 Hamburg

+49 (0)40 42838 5178

simon.lentner@uni-hamburg.de

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

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),

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),

accepted for publication in Algebras and Representation Theory,

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,

accepted for publication in Communications in Contemporary Mathematics.

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.

**Theses:**

Orbifoldizing Hopf- and Nichols Algebras,

PhD-Thesis, LMU Munich, 2012.

Vertex Algebras Constructed from Hopf Algebra Structures,

Diploma-Thesis, LMU Munich, 2007.