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Diff(R n ) as a Milnor–Lie group
Author(s) -
Glöckner Helge
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310288
Subject(s) - mathematics , lie group , group (periodic table) , diffeomorphism , pure mathematics , space (punctuation) , combinatorics , algebra over a field , physics , computer science , operating system , quantum mechanics
We describe a construction of the Lie group structure on the diffeomorphism group Diff( R n ), modelled on the space D ( R n , R n ) of R n ‐valued test functions on R n , in John Milnor's setting of infinite‐dimensional Lie groups. New tools are introduced to simplify this task. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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