Lie Groups and Subsemigroups With Subjective Exponential Function - Brossura

Hofmann, Karl Heinrich; Ruppert, Wolfgang

Brossura

ISBN 10: 0821806416 ISBN 13: 9780821806418

Casa editrice: Amer Mathematical Society, 1998

Riassunto

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.

Su questo libro

Product Description

Book by Hofmann Karl Heinrich Ruppert Wolfgang

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 0821806416
• ISBN 13: 9780821806418
• Rilegatura: Copertina flessibile
• Numero di pagine: 174
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile