@article{Helbig2012,
  author    = {Helbig, Michael},
  title     = {On the Lifting of Nichols Algebras},
  journal   = {Communications in Algebra},
  volume    = {40},
  number    = {9},
  publisher = {Informa UK Limited},
  doi       = {10.1080/00927872.2011.568029},
  institution = {Fakult{\"a}t f{\"u}r Angewandte Natur- und Geisteswissenschaften},
  pages     = {3317 -- 3351},
  year      = {2012},
  abstract  = {Nichols algebras are a fundamental building block of pointed Hopf algebras. Part of the classification program of finite-dimensional pointed Hopf algebras with the lifting method of Andruskiewitsch and Schneider is the determination of the liftings, i.e., all possible deformations of a given Nichols algebra. Based on recent work of Heckenberger about Nichols algebras of diagonal type we compute explicitly the liftings of all Nichols algebras with generalized Cartan matrix of type A 2, some Nichols algebras with generalized Cartan matrix of type B 2, and some Nichols algebras of two Weyl equivalence classes of non-standard type giving new classes of finite-dimensional pointed Hopf algebras.},
  language  = {en}
}