On a diffeological group realization of certain generalized symmetrizable Kac-Moody Lie algebras.
Leslie, Joshua (2003)
Journal of Lie Theory
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Leslie, Joshua (2003)
Journal of Lie Theory
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Wainberg, Dorin (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Moskowitz, Martin, Sacksteder, Richard (2003)
Journal of Lie Theory
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Clara Lucía Aldana Domínguez (2004)
Annales mathématiques Blaise Pascal
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This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject. In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered...
Petr Hájek, Michal Johanis (2003)
Open Mathematics
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In any separable Banach space containing c 0 which admits a C k-smooth bump, every continuous function can be approximated by a C k-smooth function whose range of derivative is of the first category. Moreover, the approximation can be constructed in such a way that its derivative avoids a prescribed countable set (in particular the approximation can have no critical points). On the other hand, in a Banach space with the RNP, the range of the derivative of every smooth bounded bump contains...
Robert Deville (2006)
RACSAM
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We survey recent results on the structure of the range of the derivative of a smooth real valued function f defined on a real Banach space X and of a smooth mapping F between two real Banach spaces X and Y. We recall some necessary conditions and some sufficient conditions on a subset A of L(X,Y) for the existence of a Fréchet-differentiable mapping F from X into Y so that F'(X) = A. Whenever F is only assumed Gâteaux-differentiable, new phenomena appear: we discuss the existence of...
Wüstner, Michael (2005)
Journal of Lie Theory
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Ciccoli, Nicola, Guerra, Lucio (2003)
Journal of Lie Theory
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Pradipta Bandyopadhyay, Sudeshna Basu (2001)
Extracta Mathematicae
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Warhurst, Ben (2005)
Journal of Lie Theory
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