  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. The Clebsch-Gordan
coefficients (CGC) of $sl_{-1}(2)$ are obtained and expressed in terms of the
dual -1 Hahn polynomials. A generating function for the CGC is derived using a
Bargmann realization.
