scholarly journals The cartan-weyl basis for the yangian doubleDY (sl 3)

1997 ◽  
Vol 111 (3) ◽  
pp. 731-743 ◽  
Author(s):  
A. V. Soloviev
Keyword(s):  
Weyl Basis

scholarly journals Efficient Classical Simulation and Benchmarking of Quantum Processes in the Weyl Basis

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Daniel Stilck França ◽  
Sergii Strelchuk ◽  
Michał Studziński
Keyword(s):  
Quantum Processes ◽  
Classical Simulation ◽  
Weyl Basis

DECOMPOSITION OF THE SEMI-SIMPLE GROUP CONNECTION AND COSMIC STRINGS IN THE LORENTZ SPACETIME

2004 ◽  
Vol 19 (10) ◽  
pp. 745-753 ◽  
Author(s):  
PENG-MING ZHANG ◽  
YI-SHI DUAN ◽  
JI-RONG REN
Keyword(s):  
Gauge Theory ◽  
Simple Group ◽  
Cosmic String ◽  
Decomposition Method ◽  
Cosmic Strings ◽  
Semisimple Group ◽  
Gauge Fields ◽  
Yang Mills ◽  
Abelian Decomposition ◽  
Weyl Basis

In a previous paper, we addressed the method of Abelian decomposition to the case of SU (N) Yang–Mills theory. Here, we extend the decomposition method further to the general case. With the Cartan–Weyl basis we decompose semisimple group connection and discuss the SO(3,1) group in particular. In terms of the vierbein projection, we propose two two-forms as the U(1) gauge fields in the SO(3,1) gauge theory and show that these two-forms are just the different cosmic string tensors. Meanwhile, these two-forms indicate that the cosmic strings appear naturally in the Lorentz spacetime, i.e. the torsion in the Riemann–Cartan spacetime is not necessary for the cosmic strings.

The Weyl Basis of the Unitary Group U(k)

1972 ◽  
Vol 13 (6) ◽  
pp. 876-879 ◽  
Author(s):  
T. H. Seligman
Keyword(s):  
Unitary Group ◽  
Weyl Basis

Clifford algebra realization of Rumer-Weyl basis

1989 ◽  
Vol 199 ◽  
pp. 85-101 ◽  
Author(s):  
J. Paldus ◽  
S. Rettrup ◽  
C.R. Sarma
Keyword(s):  
Clifford Algebra ◽  
Weyl Basis

scholarly journals Quadrupole collective variables in the natural Cartan–Weyl basis

2007 ◽  
Vol 40 (11) ◽  
pp. 2733-2749 ◽  
Author(s):  
S De Baerdemacker ◽  
K Heyde ◽  
V Hellemans
Keyword(s):  
Collective Variables ◽  
Weyl Basis
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