How Long to Read Imaginary Schur-Weyl Duality

By Alexander Kleshchev

How Long Does it Take to Read Imaginary Schur-Weyl Duality?

It takes the average reader 1 hour and 23 minutes to read Imaginary Schur-Weyl Duality by Alexander Kleshchev

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

Description

The authors study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A cuspidal system consists of irreducible cuspidal modules—one for each real positive root for the corresponding affine root system X , as well as irreducible imaginary modules—one for each -multiplication. The authors study imaginary modules by means of “imaginary Schur-Weyl duality” and introduce an imaginary analogue of tensor space and the imaginary Schur algebra. They construct a projective generator for the imaginary Schur algebra, which yields a Morita equivalence between the imaginary and the classical Schur algebra, and construct imaginary analogues of Gelfand-Graev representations, Ringel duality and the Jacobi-Trudy formula.

How long is Imaginary Schur-Weyl Duality?

Imaginary Schur-Weyl Duality by Alexander Kleshchev is 83 pages long, and a total of 20,999 words.

This makes it 28% the length of the average book. It also has 26% more words than the average book.

How Long Does it Take to Read Imaginary Schur-Weyl Duality Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 54 minutes to read Imaginary Schur-Weyl Duality aloud.

What Reading Level is Imaginary Schur-Weyl Duality?

Imaginary Schur-Weyl Duality 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.

When deciding what to show young students always use your best judgement and consult a professional.

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