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Classical Algebraic Groups over Archimedean fields

Parabolics: attachments/Pasted%20image%2020220425222957.png Unipotent radicals: attachments/Pasted%20image%2020220425223112.png

Example of parabolics and unipotent radical: attachments/Pasted%20image%2020220425223332.png

Over nonarchimedean local fields

Iwahoris (like Borels) and Parahorics (“parabolic Iwahori”, like parabolics): attachments/Pasted%20image%2020220425201345.png

attachments/Pasted%20image%2020220425201458.png

attachments/Pasted%20image%2020220425201421.png attachments/Pasted%20image%2020220425201429.png

attachments/Pasted%20image%2020220425201636.png

Loop groups

attachments/Pasted%20image%2020220425201712.png

attachments/Pasted%20image%2020220425201820.png attachments/Pasted%20image%2020220425201802.png attachments/Pasted%20image%2020220426001305.png

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