Nichols algebras with standard braiding

IVÁN ANGIONO

Algebra & Number Theory

Mathematical Sciences Publishers

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

1937-0652

The class of standard braided vector spaces, introduced by Andruskiewitsch and the author in 2007 to understand the proof of a theorem of Heckenberger, is slightly more general 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 the dimension and a presentation by generators and relations of the associated Nichols algebra.