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
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.
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.
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.
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.
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