div class=ts-pagebutton class=gotoPage data-page=1Page 1button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=1 data-page=1 class=ts-thumb lazyload alt=Page 1: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails1jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=2Page 2button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=2 data-page=2 class=ts-thumb lazyload alt=Page 2: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails2jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=3Page 3button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=3 data-page=3 class=ts-thumb lazyload alt=Page 3: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails3jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=4Page 4button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=4 data-page=4 class=ts-thumb lazyload alt=Page 4: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails4jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=5Page 5button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=5 data-page=5 class=ts-thumb lazyload alt=Page 5: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails5jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=6Page 6button div class=ts-imageimg data-url=brussodiffgeom5156pdf-exercise-255-let-jo-be-as-in-exercise-254-and-definehtmlpage=6 data-page=6 class=ts-thumb lazyload alt=Page 6: Exercise 255 Let Jo be as in Exercise 254 and define ShJ2n This is the symplectic linear group Prove that Sp2n is a Lie group Hint: See 12 Lemma 1112 Example 256 loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsnetreader033viewer2022060718607e8fd8caf294326400df9ehtml5thumbnails6jpg width=140 height=200 divdiv
![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.vdocuments.net/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.vdocuments.net/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.vdocuments.net/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.vdocuments.net/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.vdocuments.net/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.vdocuments.net/reader033/viewer/2022060718/607e8fd8caf294326400df9e/html5/thumbnails/6.jpg)
