Quantum SL(3, ℂ)’s: the missing case

Abstract

We study the only missing case in the classification of quantum SL(3, C)'s undertaken in our paper [J. of Algebra 213 (1999), 721-756], thereby completing this classification.

Hecke symmetries: an overview of Frobenius properties

“…Two papers of Ohn [16] and [17] dealt with the classification of quantum analogs of SL (3). The initial postulate there was that the representation theory for a quantum SL(3) should be identical to that of the ordinary SL(3), including complete reducibility among other things.…”

The Manin Hopf algebra of a Koszul Artin–Schelter regular algebra is quasi-hereditary

“…But such nice quotients rarely exist. For instance no traditional quantum group can coact on a 3-dimensional elliptic Sklyanin algebra [21], a basic object in non-commutative algebraic geometry [1]. On the other hand, despite its size end(A) is reasonable whenever A is.…”