Parity preservation of $K$-types under theta correspondence

zbMath1395.22004arXiv1603.09673MaRDI QIDQ4583906

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Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1603.09673

zbMATH Keywords

degreereductive dual pairparitytheta correspondenceHowe duality\(K\)-type

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• On the occurrence of admissible representations in the real Howe correspondence in stable range
• The Weil representation, Maslov index and theta series
• Howe correspondence for real unitary groups
• The explicit duality correspondence of (\(\text{Sp}(p,q),\text{O}^{*}(2n)\))
• Reductive dual pair correspondence for complex groups
• Explicit induction principle and symplectic-orthogonal theta lifts
• Sur certains groupes d'opérateurs unitaires
• On the Howe correspondence for symplectic-orthogonal dual pairs
• Transcending Classical Invariant Theory
• Remarks on Classical Invariant Theory
• THE THETA CORRESPONDENCE OVER ℝ
• Irreducible representations of product of real reductive groups
• Linear Symmetries of Free Boson Fields

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