Discrete branching laws for minimal holomorphic representations
Möllers J, Oshima Y (2015)
Publication Type: Journal article
Publication year: 2015
Journal
Publisher: Heldermann Verlag
Book Volume: 25
Pages Range: 949-983
Journal Issue: 4
URI: http://www.heldermann.de/JLT/JLT25/JLT254/jlt25044.htm
Abstract
We find the explicit branching laws for the restriction of minimal holomorphic representations to symmetric subgroups in the case where the restriction is discretely decomposable. For holomorphic pairs the minimal holomorphic representation decomposes into a direct sum of lowest weight representations which is made explicit. For non-holomorphic pairs the restriction is shown to be irreducible and identified with a known representation. We further study a conjecture by Kobayashi on the behaviour of associated varieties under restriction and confirm this conjecture in the setting of this paper.
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APA:
Möllers, J., & Oshima, Y. (2015). Discrete branching laws for minimal holomorphic representations. Journal of Lie Theory, 25(4), 949-983.
MLA:
Möllers, Jan, and Yoshiki Oshima. "Discrete branching laws for minimal holomorphic representations." Journal of Lie Theory 25.4 (2015): 949-983.
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