Characteristic cycles, micro local packets and packets with cohomology

Robert, Nicolás Arancibia

doi:10.1090/tran/8492

Trans. Amer. Math. Soc.

2021

DOI: 10.1090/tran/8492

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Characteristic cycles, micro local packets and packets with cohomology

Nicolás Arancibia Robert¹

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2024

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Equivalent Definitions of Arthur Packets for Real Classical Groups

Adams,

Arancibia Robert,

Mezo

2024

Memoirs of the AMS

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Arthur has conjectured the existence of what are now known as Arthur packets of representations of reductive algebraic groups over local and global fields. In the case of special orthogonal and symplectic groups, he subsequently gave a definition of these packets, using local and global methods. For general real groups, an alternative approach to the definition of Arthur packets has been given by Adams-Barbasch-Vogan. This construction is purely local and uses geometric methods. Our main result is that these two definitions agree in the case of real special orthogonal and symplectic groups.

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Equivalent Definitions of Arthur Packets for Real Classical Groups

Adams,

Arancibia Robert,

Mezo

2024

Memoirs of the AMS

View full text Add to dashboard Cite

show abstract

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Characteristic cycles, micro local packets and packets with cohomology

Cited by 1 publication

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Equivalent Definitions of Arthur Packets for Real Classical Groups

Equivalent Definitions of Arthur Packets for Real Classical Groups

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