How Long to Read Representation Theory of Finite Groups: Algebra and Arithmetic

How Long Does it Take to Read Representation Theory of Finite Groups: Algebra and Arithmetic?

It takes the average reader 3 hours and 51 minutes to read Representation Theory of Finite Groups: Algebra and Arithmetic by Steven H. Weintraub

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

Description

``We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, to a point from which (s)he can survey this valley, but we do not attempt to widely explore it. We hope the reader will be sufficiently fascinated by the scenery to further explore both valleys on his/her own.'' --from the Preface Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, representation theory has been one of the great tools in the study and classification of finite groups. There are some beautiful results that come from representation theory: Frobenius's Theorem, Burnside's Theorem, Artin's Theorem, Brauer's Theorem--all of which are covered in this textbook. Some seem uninspiring at first, but prove to be quite useful. Others are clearly deep from the outset. And when a group (finite or otherwise) acts on something else (as a set of symmetries, for example), one ends up with a natural representation of the group. This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group representations. Methods and results particular to group representations, such as characters and induced representations, are developed in depth. Arithmetic comes into play when considering the field of definition of a representation, especially for subfields of the complex numbers. The book has an extensive development of the semisimple case, where the characteristic of the field is zero or is prime to the order of the group, and builds the foundations of the modular case, where the characteristic of the field divides the order of the group. The book assumes only the material of a standard graduate course in algebra. It is suitable as a text for a year-long graduate course. The subject is of interest to students of algebra, number theory and algebraic geometry. The systematic treatment presented here makes the book also valuable as a reference.

How long is Representation Theory of Finite Groups: Algebra and Arithmetic?

Representation Theory of Finite Groups: Algebra and Arithmetic by Steven H. Weintraub is 226 pages long, and a total of 57,856 words.

This makes it 76% the length of the average book. It also has 71% more words than the average book.

How Long Does it Take to Read Representation Theory of Finite Groups: Algebra and Arithmetic Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 16 minutes to read Representation Theory of Finite Groups: Algebra and Arithmetic aloud.

What Reading Level is Representation Theory of Finite Groups: Algebra and Arithmetic?

Representation Theory of Finite Groups: Algebra and Arithmetic 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 Representation Theory of Finite Groups: Algebra and Arithmetic?

Representation Theory of Finite Groups: Algebra and Arithmetic by Steven H. Weintraub is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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