Lie Groups and Subsemigroups With Subjective Exponential Function (Memoirs of the American Mathematical Society) - Softcover

Hofmann, Karl Heinrich; Ruppert, Wolfgang

 
9780821806418: Lie Groups and Subsemigroups With Subjective Exponential Function (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821806416 ISBN 13: 9780821806418
Verlag: American Mathematical Society, 1997

Inhaltsangabe

In the structure theory of real Lie groups, there is still information lacking about the exponential function. Most notably, there are no general necessary and sufficient conditions for the exponential function to be surjective. It is surprising that for subsemigroups of Lie groups, the question of the surjectivity of the exponential function can be answered. Under natural reductions setting aside the 'group part' of the problem, subsemigroups of Lie groups with surjective exponential function are completely classified and explicitly constructed in this memoir. There are fewer than one would think and the proofs are harder than one would expect, requiring some innovative twists. The main protagonists on the scene are $SL(2,R)$ and its universal covering group, almost abelian solvable Lie groups (i.e., vector groups extended by homotheties), and compact Lie groups.

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Verlag
American Mathematical Society
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
0821806416
ISBN 13 
9780821806418
Einband
Taschenbuch
Anzahl der Seiten
174
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