It takes the average reader 4 hours to read Representations of Algebras by José-Antonio de la Peña
Assuming a reading speed of 250 words per minute. Learn more
This book offers an original introduction to the representation theory of algebras, suitable for beginning researchers in algebra. It includes many results and techniques not usually covered in introductory books, some of which appear here for the first time in book form. The exposition employs methods from linear algebra (spectral methods and quadratic forms), as well as categorical and homological methods (module categories, Galois coverings, Hochschild cohomology) to present classical aspects of ring theory under new light. This includes topics such as rings with several objects, the Harada–Sai lemma, chain conditions, and Auslander–Reiten theory. Noteworthy and significant results covered in the book include the Brauer–Thrall conjectures, Drozd’s theorem, and criteria to distinguish tame from wild algebras. This text may serve as the basis for a second graduate course in algebra or as an introduction to research in the field of representation theory of algebras. The originality of the exposition and the wealth of topics covered also make it a valuable resource for more established researchers.
Representations of Algebras by José-Antonio de la Peña is 240 pages long, and a total of 60,000 words.
This makes it 81% the length of the average book. It also has 73% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 27 minutes to read Representations of Algebras aloud.
Representations of Algebras 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.
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