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Infinite dimensional groups with applications / edited by V. Kac.
— New York : Springer-Verlag, c1985. 380 p. ; 25 cm. — (Mathematical Sciences Research Institute publications ; 4)
"Records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984."—Preface.
Incluye referencias bibliográficas.
Contenido: Malcolm Adams, Tudor Ratiu and Rudolf Schmid, The Lie group structure of diffeomorphism groups and invertible Fourier integral operators, with applications — Etsurō Date, Michio Jimbo, Masaki Kashiwara and Tetsuji Miwa, On Landau-Lifshitz equation and infinite-dimensional groups — D. S. Freed, Flag manifolds and infinite-dimensional Kähler geometry — Roe Goodman and Nolan R. Wallach, Positive-energy representations of the group of diffeomorphisms of the circle — M. A. Guest, Instantons and harmonic maps — Ziad Haddad, A Coxeter group approach to Schubert varieties — Victor G. Kac, Constructing groups associated to infinite-dimensional Lie algebras — Irving Kaplansky and L. J. Santharoubane, Harish-Chandra modules over the Virasoro algebra — Shrawan Kumar, Rational homotopy theory of flag varieties associated to Kac-Moody groups — George Lusztig, The two-sided cells of the affine Weyl group of type An — Andrew Pressley, Loop groups, Grassmannians and KdV equations — Peter Slodowy, An adjoint quotient for certain groups attached to Kac-Moody algebras — Kimio Ueno, Analytic and algebraic aspects of the Kadomtsev-Petviashvili hierarchy from the viewpoint of the universal Grassmann manifold — B. Weisfeiler, Comments on differential invariants — Hirofumi Yamada, The Virasoro algebra and the KP hierarchy.
ISBN 0387962166 (U.S.)
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