Results 21 to 30 of about 2,471 (100)
Pointed Hopf Algebras with classical Weyl Groups [PDF]
, 2011 We prove that Nichols algebras of irreducible Yetter-Drinfeld modules over classical Weyl groups $A \rtimes \mathbb S_n$ supported by $\mathbb S_n$ are infinite dimensional, except in three cases.
Andruskiewitsch N. +7 more
core +1 more source
Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic [PDF]
, 2014 The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive ...
Heckenberger, István, Wang, Jing
core +2 more sources
Examples of finite-dimensional Hopf algebras with the dual Chevalley property [PDF]
, 2016 We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra.Comment ...
Andruskiewitsch, Nicolás +2 more
core +5 more sources
Representations of copointed Hopf algebras arising from the tetrahedron rack [PDF]
, 2013 We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack $\Aff(\F_4,\omega)$, also known as tetrahedron rack, and the 2-cocycle -1. We investigate the so-called Verma modules and classify all the simple modules. We conclude
Pogorelsky, Barbara, Vay, Cristian
core +3 more sources
Deformation by cocycles of pointed Hopf algebras over non-abelian groups [PDF]
, 2013 We introduce a method to construct explicitly multiplicative 2-cocycles for bosonizations of Nichols algebras B(V) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V tensor V and give a close formula to deform ...
Garcia, Gaston Andres, Mastnak, Mitja
core +3 more sources
On Nichols Algebras with Generic Braiding [PDF]
, 2008 We extend the main result of [N. Andruskiewitsch and H.-J. Schneider, A characterization of quantum groups], see math/0201095, to braided vector spaces of generic diagonal type using results of Heckenberger.
Andruskiewitsch, Nicolás +1 more
openaire +2 more sources
Finite-dimensional Nichols algebras over dual Radford algebras [PDF]
Journal of Algebra and Its Applications, 2020 For [Formula: see text], let [Formula: see text] be the dual of the Radford algebra of dimension [Formula: see text]. We present new finite-dimensional Nichols algebras arising from the study of simple Yetter–Drinfeld modules over [Formula: see text].
Bagio, D. +3 more
openaire +4 more sources
On rigidity of Nichols algebras [PDF]
Journal of Pure and Applied Algebra, 2015 22 ...
Angiono, Ivan +2 more
openaire +4 more sources
Rank 4 Nichols Algebras of Pale Braidings
Symmetry, Integrability and Geometry: Methods and Applications, 2023 We classify finite GK-dimensional Nichols algebras B(V) of rank 4 such that V arises as a Yetter-Drinfeld module over an abelian group but it is not a direct sum of points and blocks.
Andruskiewitsch, Nicolas +2 more
openaire +4 more sources
Quantum function algebras from finite-dimensional Nichols algebras [PDF]
Journal of Noncommutative Geometry, 2020 We describe how to find quantum determinants and antipode formulas from braided vector spaces using the FRT-construction and finite-dimensional Nichols algebras. It improves the construction of quantum function algebras using quantum grassmanian algebras. Given a finite-dimensional Nichols algebra
Farinati, Marco A. +1 more
openaire +5 more sources