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Symmetric spaces --- 512.81 --- 512.81 Lie groups --- Lie groups --- Topological groups. Lie groups --- Groups, Lie --- Lie algebras --- Topological groups --- Groupes de Lie --- Lie, Groupes de

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In this excellent introduction to the theory of Lie groups and Lie algebras, three of the leading figures in this area have written up their lectures from an LMS/SERC sponsored short course in 1993. Together these lectures provide an elementary account of the theory that is unsurpassed. In the first part Roger Carter concentrates on Lie algebras and root systems. In the second Graeme Segal discusses Lie groups. And in the final part, Ian Macdonald gives an introduction to special linear groups. Anybody requiring an introduction to the theory of Lie groups and their applications should look no further than this book.

Lie algebras. --- Lie groups. --- Groupes de Lie --- Algèbres de Lie

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Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in June 1972 have revised their contributions and submitted them for publication in this volume. The present papers do not necessarily closely correspond with the original talks, as it was the intention of the volume editor to make this book of mathematical rather than historical interest. The contributions will be of value to workers in topology in universities and polytechnics.

Algebraic topology --- Algebraic topology - Congresses

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Algebraic topology --- Congresses. --- 515.14 --- -515.14 Algebraic topology --- Topology --- Congresses --- Topologie algébrique --- Congrès --- 515.14 Algebraic topology --- Topologie algébrique --- Algebraic topology - Congresses

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The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.

Homology theory --- String models --- Quantum gravity --- Field theory (Physics)