Nichols algebras with standard braiding

IVÁN ANGIONO

Algebra & Number Theory

Mathematical Sciences Publishers

Lugar: Berkeley, CA, USA; Año: 2009 vol. 3 p. 35 - 106

1937-0652

The class of standard braided vector spaces, introduced by Andruskiewitsch and theauthor in 2007 to understand the proof of a theorem of Heckenberger, is slightly moregeneral than the class of braided vector spaces of Cartan type. In the present paper,we classify standard braided vector spaces with finite-dimensional Nichols algebra.For any such braided vector space, we give a PBW basis, a closed formula of thedimension and a presentation by generators and relations of the associated Nicholsalgebra.