Bernstein's Lectures on Eisenstein Series: Questions on Lecture 1
They are linked from the following page:
http://www.math.uchicago.edu/~arinkin/langlands/
Questions on Lecture 1
1. What is meant by the last sentence in the remark on p. 2? In particular, what does the notation $f_{\lambda}=\exp(\lambda,j)$, where $j$ is $j$-invariant" mean?
2. What does Section 4. reduce to in the case of SL(2,R)?
3. What is the modified action of $L_p$ on $F(y_p)$ in the SL(2,R) case?
4. What does $Z(L_p)\supset Z(G)$ look like concretely in the case of $G=SL(n,R) and $P$ a standard parabolic?
5. Why does reduction theory imply the Proposition on p. 7?
http://www.math.uchicago.edu/~arinkin/langlands/
Questions on Lecture 1
1. What is meant by the last sentence in the remark on p. 2? In particular, what does the notation $f_{\lambda}=\exp(\lambda,j)$, where $j$ is $j$-invariant" mean?
2. What does Section 4. reduce to in the case of SL(2,R)?
3. What is the modified action of $L_p$ on $F(y_p)$ in the SL(2,R) case?
4. What does $Z(L_p)\supset Z(G)$ look like concretely in the case of $G=SL(n,R) and $P$ a standard parabolic?
5. Why does reduction theory imply the Proposition on p. 7?
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