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Imaginary Schur-Weyl duality /
"We 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...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1157. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "We 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<sub>l</sub><sup>(1)</sup>, as well as irreducible imaginary modules--one for each l-multiplication. We study imaginary modules by means of 'imaginary Schur-Weyl duality'. We introduce an imaginary analogue of tensor space and the imaginary Schur algebra. We construct a projective generator for the imaginary Schur algebra, which yields a Morita equivalence between the imaginary and the classical Schur algebra. We construct imaginary analogues of Gelfand-Graev representations, Ringel duality and the Jacobi-Trudy formula."--Page v |
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| Notas: | "Volume 245, Number 1157 (second of 6 numbers), January 2017." |
| Descripción Física: | 1 online resource (xvii, 83 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 81-83). |
| ISBN: | 9781470436032 1470436035 1470422492 9781470422493 |
| ISSN: | 0065-9266 ; 0065-9266 |