Lie Groups and Subsemigroups With Subjective Exponential Function - Couverture souple

Hofmann, Karl Heinrich; Ruppert, Wolfgang A.F.

 
9780821806418: Lie Groups and Subsemigroups With Subjective Exponential Function
Couverture souple
ISBN 10 : 0821806416 ISBN 13 : 9780821806418
Editeur : American Mathematical Society, 1998

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
1998
Langue
anglais
ISBN 10 
0821806416
ISBN 13 
9780821806418
Reliure
Broché
Nombre de pages
174
Coordonnées du fabricant
non disponible
Personne responsable
non disponible