Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic...
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Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6
![Page 1: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/1.jpg)
![Page 2: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/2.jpg)
![Page 3: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/3.jpg)
![Page 4: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/4.jpg)
![Page 5: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/5.jpg)
![Page 6: Exercise 2.5.5. Let Jo be as in Exercise '2.5.4 and define ShJ(2n) This is the symplectic linear group. Prove that Sp(2n) is a Lie group. Hint: See [12, Lemma 1.1.12]. Example 2.5.6](https://reader033.pdfslide.us/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/6.jpg)
