It takes the average reader 2 hours and 34 minutes to read The Invariant Theory of Matrices by Corrado De Concini
Assuming a reading speed of 250 words per minute. Learn more
This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation. Following Hermann Weyl's classical approach, the ring of invariants is described by formulating and proving (1) the first fundamental theorem that describes a set of generators in the ring of invariants, and (2) the second fundamental theorem that describes relations between these generators. The authors study both the case of matrices over a field of characteristic 0 and the case of matrices over a field of positive characteristic. While the case of characteristic 0 can be treated following a classical approach, the case of positive characteristic (developed by Donkin and Zubkov) is much harder. A presentation of this case requires the development of a collection of tools. These tools and their application to the study of invariants are exlained in an elementary, self-contained way in the book.
The Invariant Theory of Matrices by Corrado De Concini is 153 pages long, and a total of 38,709 words.
This makes it 52% the length of the average book. It also has 47% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 31 minutes to read The Invariant Theory of Matrices aloud.
The Invariant Theory of Matrices 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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