Jun. 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 

S. Lentner: Combinatorial Principles that enforce a group structure, accepted for Proceedings for the CRM topic month ''Quantum Symmetries'', AMS Contemporary Mathematics (2023).

I. Angiono, S. Lentner, G. Sanmarco: Pointed Hopf algebras over non-abelian groups with non-simple standard braidings, accepted for publication in  Proceedings of the London Mathematical Society (2023).

S. Lentner, S. Mierach, C. Schweigert, Y. Sommerhäuser:  Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups, Springer Briefs in Mathematical Physics 44 (2022), ISSN 2197-1757.

S. Lentner, I. Flandoli: Algebras of non-local screenings and diagonal Nichols algebras, SIGMA 18 (2022).

S. Lentner: Quantum groups and Nichols algebras acting on conformal field theories, Advances in Mathematics 378 (2021).
 
S. Lentner, K. Vocke: A family of new Borel subalgebras of quantum groups, Algebra and Representation Theory (2020).

S. Lentner: The unrolled quantum group inside Lusztig's quantum group of divided powers, Letters in Mathematical Physics 109/7 (2019).

S. Lentner, S. Mierach, C. Schweigert, Y. Sommerh\"auser: Hochschild cohomology and the Modular Group, Journal of Algebra 507 (2018).

I. Flandoli, S. Lentner: Logarithmic conformal field theories of type $B_n,\;\ell=4$ and symplectic fermions, Journal of Mathematical Physics 59 (2018).

S. Lentner, J.Priel: On monoidal autoequivalences of the category of
Yetter-Drinfeld modules over a group: The lazy case, Algebra and Representation Theory 22/4 (2018).

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

S. Lentner, T. Ohrmann: Factorizable R-matrices for small quantum groups,
SIGMA 13 (2017).

S. Lentner, J. Priel: A decomposition of the Brauer-Picard group of the
representation category of a finite group, Journal of Algebra 489 (2017).

S. Lentner, A. Lochmann: Factorization of graded traces on Nichols algebras,
Axioms 6/4, Special Issue ''Hopf Algebras, Quantum Groups and Yang-Baxter Equations`` (2017).

S. Lentner: A Frobenius homomorphism for Lusztig's quantum groups over arbitrary
roots of unity, Comm. in Contemporary Mathematics 18/3 (2016).

M. Cuntz, S. Lentner: A simplicial complex of Nichols algebras, Mathematische Zeitschrift 4 (2015).

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

A. Barvels, S. Lentner, C. Schweigert: Partially dualized Hopf algebras have
equivalent Yetter-Drinfel'd Modules, Journal of Algebra 430 (2015).

S. Lentner: Root systems in finite symplectic vector space, Communications in
Algebra, 43 (2015).

S. Lentner: New large-rank Nichols algebras over nonabelian groups with
commutator subgroup \Z_2, Journal of Algebra 419C (2014).

RECENT PREPRINTS: (all publication on arXiv)

M. Mombelli, S. Lentner: Fibre functors and reconstruction of Hopf algebras, Preprint (2023)  arXiv:2311.14221.

T. Creuztig, S. Lentner, M. Rupert: An algebraic theory for logarithmic Kazhdan-Lusztig correspondences, Preprint (2023)  arXiv:2306.11492.

B. Feigin, S. Lentner: Vertex algebras with big center and a Kazhdan-Lusztig Correspondence, Preprint (2022) arXiv:2210.13337.

R. Allen, S. Lentner, C. Schweigert, S. Wood: Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson, Preprint (2021), arXiv:2107.05718.

T. Creuztig, S. Lentner, M. Rupert: Characterizing braided tensor categories associated to logarithmic vertex operator algebras, Preprint (2021), arXiv:2104.13262.

S. Lentner, K. Vocke: On Borel subalgebras of quantum groups, Preprint (2019), arXiv: 1905.05867. 

A. Gainutdinov, S. Lentner, T. Ohrmann: Modularization of small quantum groups, Preprint (2018), arXiv: 1809.02116.