Algebraic aspects of branching laws for holomorphic discrete series representations
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- 北川, 宜稔
- 東京大学大学院数理科学研究科
書誌事項
- タイトル別名
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- Algebraic aspects of branching laws for holomorphic discrete series representations (Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis)
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We consider the branching problem of holomorphic discrete series representations and their analytic continuation with respect to a symmetric subgroup of anti-holomorphic type. The main purpose is to prove the irreducibility of a (mathrm{g}oplus mathfrak{g}', $Delta$(G'))-module Homc(V, V')_{$Delta$(G')} for the underlying Harish-Chandra module V of a holomorphic discrete series representation and a generic (mathrm{g}', K')-module V'. Comparing the branching law of unitary representations to this result, we conjecture that the irreducibility of the (mathfrak{g}oplus mathfrak{g}', $Delta$(G'))-module Homc(V, V')_{triangle(G')} is related to the existence of a discrete spectrum.
収録刊行物
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- 数理解析研究所講究録
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数理解析研究所講究録 2031 180-190, 2017-05
京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1050564288162753792
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- NII論文ID
- 120006578978
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- NII書誌ID
- AN00061013
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- ISSN
- 18802818
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- HANDLE
- 2433/236749
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- NDL書誌ID
- 028508735
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- 本文言語コード
- ja
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- NDL
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