Quantum superalgebra osp(2?1)

1991 ◽  
Vol 54 (3) ◽  
pp. 923-930 ◽  
Author(s):  
P. P. Kulish
Keyword(s):  
Quantum Superalgebra

Quantum superalgebra Uqosp(2,2)

1990 ◽  
Vol 238 (2-4) ◽  
pp. 242-246 ◽  
Author(s):  
Tetsuo Deguchi ◽  
Akira Fujii ◽  
Katsushi Ito
Keyword(s):  
Quantum Superalgebra

scholarly journals Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

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

Mixed Tensor Representations of Quantum Superalgebra q(gl(m,n))

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

scholarly journals Racah coefficients and 6−j symbols for the quantum superalgebra Uq(osp(1‖2))

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

THE QUANTUM SUPERALGEBRA Bq(0|1) AND q-DEFORMED CREATION AND ANNIHILATION OPERATORS

1991 ◽  
Vol 05 (03) ◽  
pp. 187-193 ◽  
Author(s):  
E. CELEGHINI ◽  
T.D. PALEV ◽  
M. TARLINI
Keyword(s):  
Hopf Algebra ◽  
Creation And Annihilation Operators ◽  
Infinite Dimensional ◽  
Quantum Superalgebra

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.

scholarly journals JORDANIAN QUANTUM SUPERALGEBRA Uh(osp(2/1))

2003 ◽  
Vol 18 (13) ◽  
pp. 885-903 ◽  
Author(s):  
N. AIZAWA ◽  
R. CHAKRABARTI ◽  
J. SEGAR
Keyword(s):  
Algebraic Structure ◽  
Lie Superalgebra ◽  
Universal Enveloping Algebra ◽  
Borel Subalgebra ◽  
Quantum Deformation ◽  
R Matrix ◽  
Enveloping Algebra ◽  
Quantum Superalgebra ◽  
Tensor Operators

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.

Sign in / Sign up

Export Citation Format

Share Document