How Long to Read Representations of Semisimple Lie Algebras in the BGG Category O

How Long Does it Take to Read Representations of Semisimple Lie Algebras in the BGG Category O?

It takes the average reader 5 hours and 20 minutes to read Representations of Semisimple Lie Algebras in the BGG Category O by James E. Humphreys

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

Description

This is the first textbook treatment of work leading to the landmark 1979 Kazhdan-Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra $\mathfrak{g}$ over $\mathbb {C}$. The setting is the module category $\mathscr {O}$ introduced by Bernstein-Gelfand-Gelfand, which includes all highest weight modules for $\mathfrak{g}$ such as Verma modules and finite dimensional simple modules. Analogues of this category have become influential in many areas of representation theory. Part I can be used as a text for independent study or for a mid-level one semester graduate course; it includes exercises and examples. The main prerequisite is familiarity with the structure theory of $\mathfrak{g}$. Basic techniques in category $\mathscr {O}$ such as BGG Reciprocity and Jantzen's translation functors are developed, culminating in an overview of the proof of the Kazhdan-Lusztig Conjecture (due to Beilinson-Bernstein and Brylinski-Kashiwara). The full proof however is beyond the scope of this book, requiring deep geometric methods: $D$-modules and perverse sheaves on the flag variety. Part II introduces closely related topics important in current research: parabolic category $\mathscr {O}$, projective functors, tilting modules, twisting and completion functors, and Koszul duality theorem of Beilinson-Ginzburg-Soergel.

How long is Representations of Semisimple Lie Algebras in the BGG Category O?

Representations of Semisimple Lie Algebras in the BGG Category O by James E. Humphreys is 320 pages long, and a total of 80,000 words.

This makes it 108% the length of the average book. It also has 98% more words than the average book.

How Long Does it Take to Read Representations of Semisimple Lie Algebras in the BGG Category O Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 17 minutes to read Representations of Semisimple Lie Algebras in the BGG Category O aloud.

What Reading Level is Representations of Semisimple Lie Algebras in the BGG Category O?

Representations of Semisimple Lie Algebras in the BGG Category O 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 Representations of Semisimple Lie Algebras in the BGG Category O?

Representations of Semisimple Lie Algebras in the BGG Category O by James E. Humphreys is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Representations of Semisimple Lie Algebras in the BGG Category O by James E. Humphreys on Amazon click the button below.