Imaginary Schur Weyl Duality is popular PDF and ePub book, written by Alexander Kleshchev in 2017-01-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Imaginary Schur Weyl Duality can be Read Online from any device for your convenience.
Imaginary Schur Weyl Duality Book PDF Summary
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.
Detail Book of Imaginary Schur Weyl Duality PDF
- Author : Alexander Kleshchev
- Release : 18 January 2017
- Publisher : American Mathematical Soc.
- ISBN : 9781470422493
- Genre : Mathematics
- Total Page : 108 pages
- Language : English
- PDF File Size : 17,8 Mb
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