A new quantum group associated with a ‘nonstandard’ braid group representation

A new quantum group is derived from a ‘nonstandard’ braid group representation by employing the Faddeev-Reshetikhin-Takhtajan constructive method. The classical limit is not a Lie superalgebra, despite relations like x 2 − y 2 =0. We classify all finite-dimensional irreducible representations of the new Hopf algebra and find only one- and two-dimensional ones.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43208/1/11005_2004_Article_BF00420369.pd