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Abstract

This thesis is devoted to the study of the representation
theory of orthosymplectic superalgebras and their applications to
physical theories. Techniques are developed to educe typical and
atypical finite-dimensional, irreducible representations of
orthosymplectic superalgebras. These include superfield and
weight space procedures which are illustrated for several low-rank
orthosymplectic superalgebras. Young supertableaux are used to
enumerate finite-dimensional typical, tensor representations and
spinor representations of OSp(M/N), and atypical, tensor
representations of OSp(2/2), OSp(3/2) and OSp(4/2). Relations
between Kac-Dynkin and supertableau labels are obtained and used
to present conditions on diagram shape, necessary and sufficient
for atypicality. Modification rules for typical supertableaux of
OSp(M/N), and for atypical supertableaux of OSp(2/2), OSp(3/2) and
OSp(4/2) are presented. Dimension formulae, in diagram notation,
are discussed for typical, representations of OSp(M/N).
New superfield realisations are presented for the
determination of infinite-dimensional irreducible representations
of N-extended super-Poincare algebras with central charges.
These are illustrated for the N=2 extended super-Poincare algebra
with one central charge. Finally, a discussion of the roles played
by orthosymplectic supergroups in some physical theories is
presented.

Item Type:	Thesis - PhD
Authors/Creators:	Farmer, R J(Richard Joseph)
Keywords:	Lie algebras, Algebra
Copyright Holders:	The Author
Copyright Information:	Copyright 1984 the Author - The University is continuing to endeavour to trace the copyright owner(s) and in the meantime this item has been reproduced here in good faith. We would be pleased to hear from the copyright owner(s)
Additional Information:	Thesis (Ph.D.)--University of Tasmania, 1985. Includes bibliographies
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