GL(m|n)-supermodules with good and Weyl filtrations

Alexandr N. Zubkov ^[1]
1. [1] Omsk State Polytechnic University, Russia
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5259-5279
Idioma: inglés
DOI: 10.1016/j.jpaa.2015.05.006
Enlaces
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Resumen
- The purpose of this paper is to prove necessary and sufficient criteria for a GL(m|n)-supermodule to have a good or Weyl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found.