Dr. Simon Lentner
Algebra and Number Theory (AZ), University Hamburg
Bundesstraße 55, 20146 Hamburg
+49 (0)40 42838 5178
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), accepte for publication in Journal of Algebra.
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).
Orbifoldizing Hopf- and Nichols Algebras,
PhD-Thesis, LMU Munich, 2012.
Vertex Algebras Constructed from Hopf Algebra Structures,
Diploma-Thesis, LMU Munich, 2007.