Vol. 283, No. 1, 2016

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A New family of simple $\mathfrak{gl}_{2n}(\mathbb{C})$-modules

Jonathan Nilsson

Vol. 283 (2016), No. 1, 1–19
Abstract

We construct a new family of simple gl2n-modules which depends on n2 generic parameters. Each module in the family is isomorphic to the regular U(gln)-module when restricted the gln-subalgebra naturally embedded into the top-left corner.

Keywords
Representation theory, Lie algebra, Nonweight module, Whittaker module
Mathematical Subject Classification 2010
Primary: 16G99
Milestones
Received: 14 September 2015
Accepted: 2 December 2015
Published: 14 June 2016
Authors
Jonathan Nilsson
Department of Mathematics
Uppsala University
Box 480
SE-751 06 Uppsala
Sweden