Affiliation:
1. Mathematics Department , Al Zaytoonah University of Jordan , Queen Alia Airport St 594 , Amman 11733 , Jordan
Abstract
Abstract
We study the existence of Lie group structures on groups of the form
C
k
(
M
,
K
)
C^{k}(M,K)
, where 𝑀 is a non-compact smooth manifold with rough boundary and 𝐾 is a, possibly infinite-dimensional, Lie group.
Motivated by introducing this new class of infinite-dimensional Lie groups, we obtain a new version of the fundamental theorem for Lie algebra-valued functions.
Subject
Algebra and Number Theory
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