We give a new interpretation of representation theory of the finite-dimensional half-integer weight modules over the queer Lie superalgebra q(n). It is given in terms of the Brundan’s work on finite-dimensional integer weight q(n) -modules by means of Lusztig’s canonical basis. Using this viewpoint we compute the characters of the finite-dimensional half-integer weight irreducible modules. For a large class of irreducible modules whose highest weights are of special types (i.e., totally connected or totally disconnected) we derive closed-form character formulas that are reminiscent of the Kac–Wakimoto character formula for basic Lie superalgebras.
CITATION STYLE
Cheng, S. J., & Kwon, J. H. (2016). Finite-Dimensional Half-Integer Weight Modules over Queer Lie Superalgebras. Communications in Mathematical Physics, 346(3), 945–965. https://doi.org/10.1007/s00220-015-2544-0
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