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On Discretization of Tori of Compact Simple Lie Groups II
Discretization of Tori Compact Simple Lie Groups II Mathematical Physics
2012/6/14
The discrete orthogonality of special function families, called $C$- and $S$-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivn\'ak and Patera (2009 J...
On Isomorphism Testing of Groups with Normal Hall Subgroups
Group Isomorphism Problem Normal Hall Subgroups Computational Complexity
2012/12/3
A normal Hall subgroup N of a group G is a normal subgroup with its order coprime with its index. Schur-Zassenhaus theorem states that every normal Hall subgroup has a complement subgroup, that is a s...
CPT groups of higher spin fields
CPT groups fields on the Poincare group Clifford algebras automorphism groups higher spin fields
2011/9/16
Abstract: $CPT$ groups of higher spin fields are defined in the framework of automorphism groups of Clifford algebras associated with the complex representations of the proper orthochronous Lorentz gr...
All the Groups of Signal Analysis from the (1+1)-affine Galilei Group
Signal Analysis the (1+1)-affine Galilei Group Mathematical Physics
2011/7/26
Abstract: We study the relationship between the (1+1)-affine Galilei group and four groups of interest in signal analysis and image processing, viz., the wavelet or the affine group of the line, the W...
The "boson polynomials" of Gel'fand basis and the analytic expression of Wigner's coefficients with multiplicity for the canonical basis of unitary groups
Gel'fand basis Wigner's coefficients canonical basis Representation Theory
2011/7/26
Abstract: In this paper we present the generating function method for the derivation of bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical basis of SU(n). We find a new ana...
Branching of the W(H4) Polytopes and Their Dual Polytopes under the Coxeter Groups W(A4) and W(H3) Represented by Quaternions
Dual Polytopes the W(H4) Polytopes Quaternions
2011/7/26
Abstract: 4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H4) where the group elements and the vertices of the polytopes are represe...
Computations in Finite Groups and Quantum Physics
Computations Finite Groups Quantum Physics
2011/7/28
Abstract: Mathematical core of quantum mechanics is the theory of unitary representations of symmetries of physical systems. We argue that quantum behavior is a natural result of extraction of "observ...
The fractal structure of cellular automata on Abelian groups
Discrete Mathematics (cs.DM) Quantum Physics (quant-ph)
2010/11/8
It is well-known that the spacetime diagrams of some cellular automata have a fractal structure: for instance Pascal's triangle modulo 2 generates a Sierpinski triangle. Explaining the fractal structu...
Classical set theory is nonextensive since the mathematical definition of a set excludes the possibility that more than one copy of the same element can be in a set. We show that the description of ra...
Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups
Experimental and numerical study spatial and temporal evolution nonlinear wave groups
2009/11/2
The evolution along the tank of unidirectional nonlinear wave groups with narrow spectrum is studied both experimentally and numerically. Measurements of the instantaneous surface elevation within the...
Non-Lie Symmetry Groups of (2+1)-Dimensional Nonlinear Systems
symmetry groups CK direct method symmetries exact solution
2007/8/15
2006Vol.46No.6pp.1005-1010DOI:
Non-Lie Symmetry Groups of (2+1)-Dimensional Nonlinear Systems
MA Hong-Cai1 and LOU Sen-Yue2,3
1 Department of Mathematics, Donghua Univer...
Canonical Differential Calculi for Finitely Generated
Abelian Groups and Their Fermionic Representations
finitely generated Abelian group canonical
differential calculus involution quantized calculus
fermionic representation
2007/8/15
2002Vol.37No.4pp.393-396DOI:
Canonical Differential Calculi for Finitely Generated
Abelian Groups and Their Fermionic Representations
DAI Jian, SONG Xing-Chang, and XIONG Chuan-Sh...
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
non-unitary link variable Connes' distance formula vacuum solution
noncommutative geometry cyclic group
2007/8/15
2002Vol.37No.1pp.11-14DOI:
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
DAI Jian and SONG Xing-Chang
Institute of Theoretical Phys...
Generating Lie Point Symmetry Groups of (2+1)-Dimensional
Broer-Kaup Equation via a Simple Direct Method
symmetry groups CK direct method exact solution symmetries
2007/8/15
2005Vol.43No.6pp.1047-1052DOI:
Generating Lie Point Symmetry Groups of (2+1)-Dimensional
Broer-Kaup Equation via a Simple Direct Method
MA Hong-Cai
Department of Physics...
Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable Systems
Lax pairs symmetries exact solution symmetry groups
2007/8/15
2005Vol.44No.2pp.193-196DOI:
Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable Systems
MA Hong-Cai1,3 and LOU Sen-Yue1,2
1 Physics Department, ...