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Zbl 0593.17014
Goddard, P.
Infinite dimensional Lie algebras: Representations and applications. (English)
[J] Suppl. Rend. Circ. Mat. Palermo, II. Ser. 9, 73-107 (1985).

In these notes, certain infinite-dimensional Lie algebras, the groups to which they correspond, their representations and some of their applications in theoretical physics are described. The topics and treatment were chosen so as to compliment those covered by David Olive (see review above). These algebras occur in relationships between different areas such as: sporadic simple groups in finite group theory; the theory of modular forms; "completely integrable" dynamical systems; gauge field theory; string theories of elementary particles; conformally invariant field theories; theory of critical phenomena in two-dimensional statistical systems.
[L.Vaserstein]

MSC 2000:: *17B65 Infinite-dimensional Lie algebras

Keywords: Virasoro algebra; infinite-dimensional Lie algebras; representations; theoretical physics

Citations: Zbl 0593.17013

Cited in: Zbl 0593.17013

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	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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