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On finite dimensional Nichols algebras of diagonal type
(SpringerOpen, 2017-12)
This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf ...
Embedding properties of metabelian Lie algebras and metabelian discrete groups
(Oxford Univ PressOxfordInglaterra, 2006)
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I: non-semisimple classes in PSLn(q)
(Elsevier Science Inc, 2015-11)
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium ...
A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
(Belgian Mathematical Soc Triomphe, 2017-01)
Let Bq be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix q ∈ k θ×θ . Let Lq be the Lusztig algebra associated to Bq [AAR]. We present Lq as an extension (as braided Hopf algebras) of Bq by ...
Homological finiteness properties of Lie algebras
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Nilpotent-by-abelian Lie algebras of type FPm
(Cambridge Univ PressNew YorkEUA, 2010)
On the homological finiteness properties of some modules over metabelian Lie algebras
(Magnes PressJerusalemIsrael, 2002)
Finite presentability and the homological type FPm for a class of Hopf algebras
(Taylor & Francis IncPhiladelphiaEUA, 2006)