Lentner, Simon (2012): Orbifoldizing Hopf and NicholsAlgebras. Dissertation, LMU München: Faculty of Mathematics, Computer Science and Statistics 

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Lentner_Simon.pdf 2MB 
Abstract
The main goal of this thesis is to explore a new general construction of orbifoldizing Hopf and Nicholsalgebras, describe the growth of the automorphism group and compare the behaviour of certain associated categories to Kirillov's orbifoldizing. Together with outlooks towards vertex algebras these aspects form the 5fold subdivision of this thesis. The main applications of this theory is the construction of new finitedimensional Nichols algebras with sometimes large rank. In the process, the associated group is centrally extended and the root system is folded, as shown e.g. for E6>F4 on the title page. Thus, in some sense, orbifoldizing constructs new finitedimensional quantum groups with nonabelian Cartanalgebra.
Item Type:  Theses (Dissertation, LMU Munich) 

Keywords:  NicholsAlgebra, HopfAlgebra, nonabelian, orbifold 
Subjects:  500 Natural sciences and mathematics 500 Natural sciences and mathematics > 510 Mathematics 
Faculties:  Faculty of Mathematics, Computer Science and Statistics 
Language:  English 
Date of oral examination:  21. December 2012 
1. Referee:  Schottenloher, Martin 
MD5 Checksum of the PDFfile:  4bace945dd4a13e1842afa1648fc7c83 
Signature of the printed copy:  0001/UMC 21036 
ID Code:  15363 
Deposited On:  08. Mar 2013 07:23 
Last Modified:  24. Oct 2020 01:28 