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Inhaltsangabe
Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.
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Reseña del editor
Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.
Reseña del editor
Mickelsson (U. of Jyvaskyla, Finland) introduces the mathematical techniques of the modern theory of current algebras and groups, and explains a few physical applications illustrative of their uses. Assumes familiarity with the basic concepts of differentiable manifolds. Annotation copyright Book Ne
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Current algebras and groups Jouko Mickelsson. Plenum monographs in nonlinear physics.
Verlag:
New York, Plenum Press [1989]., 1989
ISBN 10: 030643363X
ISBN 13: 9780306433634
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Hardcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 MIC 9780306433634 Sprache: Englisch Gewicht in Gramm: 1150. Bestandsnummer des Verkäufers 2507828
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Current Algebras and Groups (Plenum Monographs in Nonlinear Physics)
Verlag:
Springer, U.S.A., 1989
ISBN 10: 030643363X
ISBN 13: 9780306433634
Gebraucht
Hardcover
Erstausgabe
Anbieter: Small World Books, Rochester, NY, USA
Verkäuferbewertung 2 von 5 Sternen
Hardcover. Zustand: Good. Zustand des Schutzumschlags: No D.J. 1st Edition. XUniversity of Rochester Library copy with barcode sticker on front cover, bookplate insede front cover and stamps on edges of pages. Text unmarked. Size: 8vo - 7¾" - 9¾. Bestandsnummer des Verkäufers 064324
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