Publication: Hodge Theory and Unitary Representations of Reductive Lie Groups
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2011
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International Press
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Schmid, Wilfried, and Kari Vilonen. 2011. Hodge Theory and Unitary Representations of Reductive Lie Groups. In Frontiers of Mathematical Sciences, ed. Binglin Gu, Shing-Tung Yau, Huai-Dong Cao, Shiu-Yuen Cheng, Lizhen Ji, Yat Sun Poon, and Jie Xiao, 397-420. Somerville, MA: International Press.
Abstract
We present an application of Hodge theory towards the study of irreducible unitary representations of reductive Lie groups. We describe a conjecture about such representations and discuss some progress towards its proof.
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