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Quaternion-Octonion SU(3) Flavor Symmetry
SU(3) Quaternions Octonions and Gell Mann matrices
2011/8/3
Abstract: Starting with the quaternionic formulation of isospin SU(2) group, we have derived the relations for different components of isospin with quark states. Extending this formalism to the case o...
Linear Mappings of Quaternion Algebra
Linear Mappings Quaternion Algebra Rings and Algebras
2011/8/26
Abstract: In the paper I considered linear and antilinear automorphisms of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to...
Abstract: Defining the generalized charge, potential, current and generalized fields as complex quantities where real and imaginary parts represent gravitation and electromagnetism respectively, corre...
Liftings of Reduction Maps for Quaternion Algebras
Liftings of Reduction Maps Quaternion Algebras
2011/1/18
We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefin...
Domain Wall Fermion Lattice Simulation in Quaternion Basis
Domain Wall Fermion Lattice Simulation Quaternion Basis
2011/1/7
In the QCD analysis, when quarks are expressed in quaternion basis, the quark and its charge conjugate together are expressed by octonions and the octonion posesses the triality symmetry. Gluos are ex...
Domain Wall Fermion Lattice Simulation in Quaternion Basis
Domain Wall Fermion Lattice Simulation Quaternion Basis
2011/1/14
In the QCD analysis, when quarks are expressed in quaternion basis, the quark and its charge
conjugate together are expressed by octonions and the octonion posesses the triality symmetry.
Gluos are ...
Domain Wall Fermion Lattice Simulation in Quaternion Basis
Domain Wall Fermion Lattice Simulation Quaternion Basis
2011/1/14
In the QCD analysis, when quarks are expressed in quaternion basis, the quark and its charge
conjugate together are expressed by octonions and the octonion posesses the triality symmetry.
Gluos are ...
On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
quaternion algebras Cayley algebras
2010/11/9
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm.
The Quaternion Matrix-Valued Young's Inequality
Quaternion Matrix Young's inequality Real representation
2008/6/26
The Quaternion Matrix-Valued Young's Inequality.