A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2015; you can also visit the original URL.
The file type is
A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated by sl_-1(2), this algebra encompasses the Lie superalgebra osp(1|2). It is obtained as a q=-1 limit of the sl_q(2) algebra and seen to be equivalent to the parabosonic oscillator algebra in irreducible representations. It possesses a noncocommutative coproduct. Thedoi:10.3842/sigma.2011.093 fatcat:j2phohecznfohgayid3khkfp5q