This monograph studies the interplay between various algebraic, geometric and
combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and …

arXiv:2308.13120v1 [math.QA] 25 Aug 2023 Page 1 arXiv:2308.13120v1 [math.QA] 25 Aug 2023
ON INFINITE-DIMENSIONAL HOPF ALGEBRAS NICOLÁS ANDRUSKIEWITSCH Dedicated to …

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 …

Nichols algebras, Hopf algebras in braided categories with distinguished properties, were
discovered several times. They appeared for the first time in the thesis of W. Nichols 72 …

We prove that certain screening operators in conformal field theory obey the algebra
relations of a corresponding Nichols algebra with diagonal braiding. Our result proves in …

Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least
two absolutely simple Yetter–Drinfeld modules over non-abelian groups such that the group …

We compute all isomorphism classes of simplicial arrangements in the real projective plane
with up to 27 lines. It turns out that Grünbaum's catalogue is complete up to 27 lines except …

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple
classes in PSLn(q) - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Using the classification of finite Weyl groupoids we prove that crystallographic
arrangements, a large subclass of the class of simplicial arrangements which was recently …

Simplicial arrangements are classical objects in discrete geometry. Their classification
remains an open problem but there is a list conjectured to be complete at least for rank …