It takes the average reader 3 hours and 15 minutes to read Lie Groups and Subsemigroups with Surjective Exponential Function by Karl Heinrich Hofmann
Assuming a reading speed of 250 words per minute. Learn more
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.
Lie Groups and Subsemigroups with Surjective Exponential Function by Karl Heinrich Hofmann is 189 pages long, and a total of 48,951 words.
This makes it 64% the length of the average book. It also has 60% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 27 minutes to read Lie Groups and Subsemigroups with Surjective Exponential Function aloud.
Lie Groups and Subsemigroups with Surjective Exponential Function is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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