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On differentiability of vectors in Lie group representations

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Author(s): Ingrid Beltita , Daniel Beltita

Publication date Created: 17 February 2011

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Abstract

We address a linearity problem for differentiable vectors in representations of infinite-dimensional Lie groups on locally convex spaces, which is similar to the linearity problem for the directional derivatives of functions.

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Most cited references 6

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The inverse function theorem of Nash and Moser

Richard Hamilton (1982)

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Towards a Lie theory of locally convex groups

Karl-Hermann Neeb (2006)

0 comments Cited 43 times – based on 0 reviews      Review now

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On differentiable vectors for representations of infinite dimensional Lie groups

Karl-Hermann Neeb (2010)

0 comments Cited 7 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 17 February 2011

Publication date Updated: 2011-03-02

Article

ArXiV ID: 1102.3657

SO-VID: 3e26f669-dff6-4c2b-89ce-7543778cea44

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes Primary 22E65, Secondary 22E66, 22A10, 22A25

Comments 12 pages

Categories math.RT math.FA

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