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Jianrong Li
Jianrong Li
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What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?

When $F$ is a local field, the representations of $GL_n(F)$ are classified by Bernstein and Zelevinsky in terms of cuspidal representations. What about other types of groups (and when $F$ is some other field)? Thank you very much.

Edit: I am interested in the representations which relates to Langlands program.

What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?

When $F$ is a local field, the representations of $GL_n(F)$ are classified by Bernstein and Zelevinsky in terms of cuspidal representations. What about other types of groups (and when $F$ is some other field)? Thank you very much.

What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?

When $F$ is a local field, the representations of $GL_n(F)$ are classified by Bernstein and Zelevinsky in terms of cuspidal representations. What about other types of groups (and when $F$ is some other field)? Thank you very much.

Edit: I am interested in the representations which relates to Langlands program.

Source Link
Jianrong Li
Jianrong Li
  • 6.2k
  • 2
  • 21
  • 34

What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?

What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?

When $F$ is a local field, the representations of $GL_n(F)$ are classified by Bernstein and Zelevinsky in terms of cuspidal representations. What about other types of groups (and when $F$ is some other field)? Thank you very much.