Quantum superalgebra osp(2?1)

1991 ◽  
Vol 54 (3) ◽  
pp. 923-930 ◽  
Author(s):  
P. P. Kulish
Keyword(s):  
1990 ◽  
Vol 238 (2-4) ◽  
pp. 242-246 ◽  
Author(s):  
Tetsuo Deguchi ◽  
Akira Fujii ◽  
Katsushi Ito
Keyword(s):  

2000 ◽  
Vol 13 (2) ◽  
pp. 295-331 ◽  
Author(s):  
Georgia Benkart ◽  
Seok-Jin Kang ◽  
Masaki Kashiwara

2007 ◽  
Vol 35 (3) ◽  
pp. 781-806 ◽  
Author(s):  
Chanyoung Lee Shader ◽  
Dongho Moon

1995 ◽  
Vol 36 (2) ◽  
pp. 907-922 ◽  
Author(s):  
Pierre Minnaert ◽  
Marek Mozrzymas
Keyword(s):  

1991 ◽  
Vol 05 (03) ◽  
pp. 187-193 ◽  
Author(s):  
E. CELEGHINI ◽  
T.D. PALEV ◽  
M. TARLINI

We show that the q-deformed creation and annihilation boson operators defined by Biedenharn and Mcfarlane generate the quantum superalgebra B(0|1), denoted also as ospq(1|2), and we give a generalization to q-deformed parabosons and fermions using the infinite dimensional representations of such Hopf algebra.


2003 ◽  
Vol 18 (13) ◽  
pp. 885-903 ◽  
Author(s):  
N. AIZAWA ◽  
R. CHAKRABARTI ◽  
J. SEGAR

A quantum deformation of the Lie superalgebra osp(2/1) from the classical r-matrix including an odd generator is presented with its full Hopf algebraic structure. A class of deformation maps and the corresponding twisting elements, the interrelation between these twists, and the tensor operators are considered for the deformed osp(2/1) algebra. It is also shown that the Borel subalgebra of the universal enveloping algebra of the quantized osp(2/1) is self-dual.


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