It takes the average reader 5 hours and 8 minutes to read Sugawara Operators for Classical Lie Algebras by Alexander Molev:
Assuming a reading speed of 250 words per minute. Learn more
The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras. The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical -algebras, which have numerous ties with many areas of mathematics and mathematical physics, including modular forms, conformal field theory, and soliton equations. An affine version of the matrix technique is developed and used to explain the elegant constructions of Sugawara operators, which appeared in the last decade. An affine analogue of the Harish-Chandra isomorphism connects the Sugawara operators with the classical -algebras, which play the role of the Weyl group invariants in the finite-dimensional theory.
Sugawara Operators for Classical Lie Algebras by Alexander Molev: is 304 pages long, and a total of 77,216 words.
This makes it 103% the length of the average book. It also has 94% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 1 minute to read Sugawara Operators for Classical Lie Algebras aloud.
Sugawara Operators for Classical Lie 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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