How Long to Read Lie Algebras and Lie Groups

How Long Does it Take to Read Lie Algebras and Lie Groups?

It takes the average reader 2 hours and 55 minutes to read Lie Algebras and Lie Groups by Jean-Pierre Serre

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

Description

The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I.I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal, . This part has been written with the help of F. Raggi and J. Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo tients. Definition 1. A Lie algebra over Ie isan algebrawith the following properties: 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x, y) under this map by [x, y) then the condition becomes for all x e k. [x, x)=0 2). (lx, II], z]+ny, z), x) + ([z, xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/, x).

How long is Lie Algebras and Lie Groups?

Lie Algebras and Lie Groups by Jean-Pierre Serre is 173 pages long, and a total of 43,769 words.

This makes it 58% the length of the average book. It also has 53% more words than the average book.

How Long Does it Take to Read Lie Algebras and Lie Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 59 minutes to read Lie Algebras and Lie Groups aloud.

What Reading Level is Lie Algebras and Lie Groups?

Lie Algebras and Lie Groups 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.

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

Where Can I Buy Lie Algebras and Lie Groups?

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