Hodge theory and unitary representations

Wilfried Schmid; Kari Vilonen

doi:10.1007/978-3-319-23443-4_16

Hodge theory and unitary representations

Wilfried Schmid^*, Kari Vilonen

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We describe our conjecture about the irreducible unitary representations of reductive Lie groups, in the special case of SL(2, ℝ).

Original language	English (US)
Pages (from-to)	443-453
Number of pages	11
Journal	Progress in Mathematics
Volume	312
DOIs	https://doi.org/10.1007/978-3-319-23443-4_16
State	Published - 2015

Funding

The first author was supported in part by NSF grant DMS1300185. The second author was supported in part by NSF grants DMS-1402928, DMS-1069316, and the Academy of Finland.

Keywords

Hodge theory
Representation theory

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1007/978-3-319-23443-4_16

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title = "Hodge theory and unitary representations",

abstract = "We describe our conjecture about the irreducible unitary representations of reductive Lie groups, in the special case of SL(2, ℝ).",

keywords = "Hodge theory, Representation theory",

author = "Wilfried Schmid and Kari Vilonen",

note = "Funding Information: The first author was supported in part by NSF grant DMS1300185. The second author was supported in part by NSF grants DMS-1402928, DMS-1069316, and the Academy of Finland. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.",

year = "2015",

doi = "10.1007/978-3-319-23443-4_16",

language = "English (US)",

volume = "312",

pages = "443--453",

journal = "Progress in Mathematics",

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AU - Schmid, Wilfried

AU - Vilonen, Kari

N1 - Funding Information: The first author was supported in part by NSF grant DMS1300185. The second author was supported in part by NSF grants DMS-1402928, DMS-1069316, and the Academy of Finland. Publisher Copyright: © Springer International Publishing Switzerland 2015.

PY - 2015

Y1 - 2015

N2 - We describe our conjecture about the irreducible unitary representations of reductive Lie groups, in the special case of SL(2, ℝ).

AB - We describe our conjecture about the irreducible unitary representations of reductive Lie groups, in the special case of SL(2, ℝ).

KW - Hodge theory

KW - Representation theory

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U2 - 10.1007/978-3-319-23443-4_16

DO - 10.1007/978-3-319-23443-4_16

M3 - Article

AN - SCOPUS:85019491818

SN - 0743-1643

VL - 312

SP - 443

EP - 453

JO - Progress in Mathematics

JF - Progress in Mathematics

ER -

Hodge theory and unitary representations

Abstract

Funding

Keywords

ASJC Scopus subject areas

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