Krichever and Novikov introduced certain classes of infinite
dimensional Lie algebras to extend the Virasoro algebra and its
related algebras to Riemann surfaces of higher genus. The author of
this book generalized and extended them to a more general setting
needed by the applications. Examples of applications are Conformal
Field Theory, Wess-Zumino-Novikov-Witten models, moduli space
problems, integrable systems, Lax operator algebras, and
deformation theory of Lie algebra. Furthermore they constitute an
important class of infinite dimensional Lie algebras which due to
their geometric origin are still manageable. This book gives an
introduction for the newcomer to this exciting field of ongoing
research in mathematics and will be a valuable source of reference
for the experienced researcher. Beside the basic constructions and
results also applications are presented.
General
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