Lie Groups and Subsemigroups with Surjective Exponential Function is popular PDF and ePub book, written by Karl Heinrich Hofmann in 1997, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lie Groups and Subsemigroups with Surjective Exponential Function can be Read Online from any device for your convenience.
Lie Groups and Subsemigroups with Surjective Exponential Function Book PDF Summary
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 nature 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 (ie. vector groups extended by homotheties), and compact Lie groups. This text will also be of interest to those working in algebra and algebraic geometry.
Detail Book of Lie Groups and Subsemigroups with Surjective Exponential Function PDF
- Author : Karl Heinrich Hofmann
- Release : 20 September 1997
- Publisher : American Mathematical Soc.
- ISBN : 9780821806418
- Genre : Mathematics
- Total Page : 189 pages
- Language : English
- PDF File Size : 11,8 Mb
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