Some studies in Matrix Theory and applications to generalised clifford algebras and representations of Lie groups

DSpace/Manakin Repository

Some studies in Matrix Theory and applications to generalised clifford algebras and representations of Lie groups

Show simple item record

dc.contributor.author Madivanane, S.
dc.date.accessioned 2009-08-07T08:48:14Z
dc.date.available 2009-08-07T08:48:14Z
dc.date.issued 2009-08-07T08:48:14Z
dc.date.submitted 1988
dc.identifier.uri http://hdl.handle.net/123456789/57
dc.description.abstract Some aspects of Matrix theory and its applications are dealt with in this thesis. "For two matrices A and B of order n x n which satisfy the characteristic equation( x^n) - 1 = 0 , it has been shown that the transformation matrix T (AB) satisfying the relation AT (AB) = T (AB) B, becomes involutional". Clifford and generalised Clifford algebras and their representations, are discussed in this thesis. The theorem on involutional matrices, and Lomont's generalisation, Quantum mechanics of a n-level system, its relationship to Kuryshkin's q-algebras, Finite fourier transform, formation of Hamiltonian of a trunkated harmonic oscillator, indecompasble representations of some Lie algebras,... are some of the concepts discussed and explained in this thesis. en_US
dc.subject Matrix Theory en_US
dc.subject Generalised Clifford Algebra en_US
dc.subject Lie Groups en_US
dc.title Some studies in Matrix Theory and applications to generalised clifford algebras and representations of Lie groups en_US
dc.type.degree Ph.D en_US
dc.type.institution University of Madras en_US
dc.description.advisor Santhanam, T. S.
dc.description.pages iii; 95p. en_US
dc.type.mainsub Physics en_US

Files in this item

Files Size Format View
UNMTH34.pdf 7.071Mb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account