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Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
Інший ID:
2010 Mathematics Subject Classification: 16E30; 17B10
DOI:10.3842/SIGMA.2015.016
DOI:10.3842/SIGMA.2015.016
Посилання:
Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules / K. Coulembier, V. Mazorchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is
available at http://www.emis.de/journals/SIGMA/LieTheory2014.html.
KC is a Postdoctoral Fellow of the Research Foundation – Flanders (FWO). VM is partially
supported by the Swedish Research Council. A substantial part of this work was done during
the visit of the authors to the CRM Thematic Semester “New Directions in Lie Theory” in
Montreal. We thank CRM for hospitality and partial support. We thank the referees for helpful
comments.
Дата:
2015
Переглядів:
493
Завантажень:
223
Анотація:
We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used to estimate and in some cases determine the global dimension of blocks of the categories of Gelfand-Zeitlin and Whittaker modules.
