000  01726nam a2200241Ia 4500  

008  160627s1971xx  und  
100 
_aChandrasekaran, P. S. _eauthor 

245  _aClifford Algebra, its generalisation and their applications to symmetries and relativistic wave equations  
260  _c1971  
300  _aiii; 109p.  
502  _a1971  
502  _bPh.D  
502  _cUniversity of Madras  
520  3  _aThis thesis work essentially relates to the study of the EigenVector and EigenValue structure of the matrices of the generalised clifford algebra and their possible interpretation in elementary particle physics. Sigma  operation, a generalisation of Dirac's procedure to obtain 4x4 matrices, in his famous electron wave equation forms the basic idea of initiation to this research problem. If a linear combination of higher dimensional matrices is considered, then its EigenVectors turn out to be degenerative; The concept of holicity matrices is introduced to resolve this degeneracy. The energy and holicity belong to a hierarchy of Eigenvalues. In this thesis these concepts are extended and related to the Clifford algebra of anticommuting matrices to the case of the generalised Clifford Algebra of matrices, the nth roots of the unit matrix, satisfying a generalised commutation rule. Then they are applied to the study of Symmetry principles and Elementary Particle Physics.  
650  1  4  _aPhysics 
653  1  0  _aClifford Algebra 
653  1  0  _aElementary Particle Physics 
653  1  0  _aSymmetry Principles 
720  1 
_aRamakrishnan, Alladi _eThesis advisor [ths] 

856  _uhttp://www.imsc.res.in/xmlui/handle/123456789/35  
942 
_2THESIS72 _cTHESIS 

999 
_c48777 _d48777 