On the Wigner-Eckart theorem for tensor operators connected with compact matrix quantum groups

1991 ◽  
Vol 21 (3) ◽  
pp. 181-191 ◽  
Author(s):  
Kazimierz Bragiel
Keyword(s):  
Quantum Groups ◽  
Matrix Quantum ◽  
Tensor Operators

Tensor operators for quantum groups and applications

1992 ◽  
Vol 33 (2) ◽  
pp. 436-445 ◽  
Author(s):  
V. Rittenberg ◽  
M. Scheunert
Keyword(s):  
Quantum Groups ◽  
Tensor Operators

scholarly journals Some remarks on actions of compact matrix quantum groups onC∗-algebras

1992 ◽  
Vol 153 (1) ◽  
pp. 119-127 ◽  
Author(s):  
Yuji Konishi ◽  
Masaru Nagisa ◽  
Yasuo Watatani
Keyword(s):  
Quantum Groups ◽  
Matrix Quantum

Onq-tensor operators for quantum groups

1990 ◽  
Vol 20 (4) ◽  
pp. 271-278 ◽  
Author(s):  
L. C. Biedenharn ◽  
Marco Tarlini
Keyword(s):  
Quantum Groups ◽  
Tensor Operators

scholarly journals The pattern calculus for tensor operators in quantum groups

1992 ◽  
Vol 33 (11) ◽  
pp. 3613-3635 ◽  
Author(s):  
Mark Gould ◽  
L. C. Biedenharn
Keyword(s):  
Quantum Groups ◽  
Tensor Operators

ON MATRIX QUANTUM GROUPS OF TYPE An

2000 ◽  
Vol 11 (09) ◽  
pp. 1115-1146 ◽  
Author(s):  
HO Hai PHUNG
Keyword(s):  
Hopf Algebra ◽  
Quantum Group ◽  
Quantum Groups ◽  
Semi Group ◽  
The Matrix ◽  
Hecke Symmetry ◽  
Matrix Quantum

Given a Hecke symmetry R, one can define a matrix bialgebra ER and a matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the corresponding quantum group are absolutely reducible and that the fusion coefficients of simple representations depend only on the rank of the Hecke symmetry. Further we compute the quantum rank of simple representations. We also show that the quantum semi-group is "Zariski" dense in the quantum group. Finally we give a formula for the integral.

Understanding the q-Factors in Quantum Group Symmetry

1997 ◽  
Vol 52 (1-2) ◽  
pp. 59-62
Author(s):  
L. C. Biedenharnf ◽  
K. Srinivasa Rao
Keyword(s):  
Characteristic Feature ◽  
Quantum Group ◽  
Quantum Groups ◽  
Group Symmetry ◽  
Explicit Calculation ◽  
Matrix Elements ◽  
Structural Symmetry ◽  
Symmetry Properties ◽  
Q Factors ◽  
Tensor Operators

AbstractA characteristic feature of quantum groups is the occurrence of q-factors (factors of the form qk, k ∈ ℝ), which implement braiding symmetry. We show how the q-factors in matrix elements of elementary q-tensor operators (for all Uq(n)) may be evaluated, without explicit calculation, directly from structural symmetry properties.

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