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)**

Quantum affine algebras at small root of unity,

Preprint (2014), arXiv:1411.2959

New R-matrices for small quantum groups (with D. Nett, Hamburg),

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 Prof. Schweigert, Hamburg),

Preprint (2014), arXiv:1402.2214.

Root Systems In Finite Symplectic Vector Space,

Preprint (2013), arXiv:1307.7151, accepted for publication in Communications in Algebra.

New Large-Rank Nichols Algebras Over Nonab. Groups With Commutator Subgroup Z_2,

Preprint (2013), arXiv:1306.5684, Journal of Algebra 419 (2014).

**Theses:**

Orbifoldizing Hopf- and Nichols Algebras,

PhD-Thesis, LMU Munich, 2012.

Vertex Algebras Constructed from Hopf Algebra Structures,

Diploma-Thesis, LMU Munich, 2007.