How Long to Read The Lie Theory of Connected Pro-Lie Groups

How Long Does it Take to Read The Lie Theory of Connected Pro-Lie Groups?

It takes the average reader 11 hours and 55 minutes to read The Lie Theory of Connected Pro-Lie Groups by Karl Heinrich Hofmann

Assuming a reading speed of 250 words per minute. Learn more

Description

Lie groups were introduced in 1870 by the Norwegian mathematician Sophus Lie. A century later Jean Dieudonne quipped that Lie groups had moved to the center of mathematics and that one cannot undertake anything without them. If a complete topological group $G$ can be approximated by Lie groups in the sense that every identity neighborhood $U$ of $G$ contains a normal subgroup $N$ such that $G/N$ is a Lie group, then it is called a pro-Lie group. Every locally compact connected topological group and every compact group is a pro-Lie group. While the class of locally compact groups is not closed under the formation of arbitrary products, the class of pro-Lie groups is. For half a century, locally compact pro-Lie groups have drifted through the literature, yet this is the first book which systematically treats the Lie and structure theory of pro-Lie groups irrespective of local compactness. This study fits very well into the current trend which addresses infinite-dimensional Lie groups. The results of this text are based on a theory of pro-Lie algebras which parallels the structure theory of finite-dimensional real Lie algebras to an astonishing degree, even though it has had to overcome greater technical obstacles. This book exposes a Lie theory of connected pro-Lie groups (and hence of connected locally compact groups) and illuminates the manifold ways in which their structure theory reduces to that of compact groups on the one hand and of finite-dimensional Lie groups on the other. It is a continuation of the authors' fundamental monograph on the structure of compact groups (1998, 2006) and is an invaluable tool for researchers in topological groups, Lie theory, harmonic analysis, and representation theory. It is written to be accessible to advanced graduate students wishing to study this fascinating and important area of current research, which has so many fruitful interactions with other fields of mathematics.

How long is The Lie Theory of Connected Pro-Lie Groups?

The Lie Theory of Connected Pro-Lie Groups by Karl Heinrich Hofmann is 704 pages long, and a total of 178,816 words.

This makes it 238% the length of the average book. It also has 219% more words than the average book.

How Long Does it Take to Read The Lie Theory of Connected Pro-Lie Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 16 hours and 17 minutes to read The Lie Theory of Connected Pro-Lie Groups aloud.

What Reading Level is The Lie Theory of Connected Pro-Lie Groups?

The Lie Theory of Connected Pro-Lie Groups is suitable for students ages 12 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.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Lie Theory of Connected Pro-Lie Groups?

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