It takes the average reader 2 hours and 22 minutes to read Stratifying Endomorphism Algebras by Edward Cline
Assuming a reading speed of 250 words per minute. Learn more
Suppose that $R$ is a finite dimensional algebra and $T$ is a right $R$-module. Let $A = \mathrm{ End}_R(T)$ be the endomorphism algebra of $T$. This memoir presents a systematic study of the relationships between the representation theories of $R$ and $A$, especially those involving actual or potential structures on $A$ which ''stratify'' its homological algebra. The original motivation comes from the theory of Schur algebras and the symmetric group, Lie theory, and the representation theory of finite dimensional algebras and finite groups. The book synthesizes common features of many of the above areas, and presents a number of new directions. Included are an abstract ''Specht/Weyl module'' correspondence, a new theory of stratified algebras, and a deformation theory for them. The approach reconceptualizes most of the modular representation theory of symmetric groups involving Specht modules and places that theory in a broader context. Finally, the authors formulate some conjectures involving the theory of stratified algebras and finite Coexeter groups, aiming toward understanding the modular representation theory of finite groups of Lie type in all characteristics.
Stratifying Endomorphism Algebras by Edward Cline is 138 pages long, and a total of 35,604 words.
This makes it 47% the length of the average book. It also has 44% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 14 minutes to read Stratifying Endomorphism Algebras aloud.
Stratifying Endomorphism Algebras is suitable for students ages 10 and up.
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