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- 06:38, 16 June 2015 Aufgaben:Problem 10 (hist) [16,722 bytes] Lilit (Talk | contribs) (Created page with "[http://lilit.ch/fs/exercise10.pdf Here] is a really messy solution to this problem. If you would like to edit the texfile, you can find it [http://lilit.ch/fs/exercise10.tex...")
- 07:03, 14 June 2015 Aufgaben:Problem 9 (hist) [9,730 bytes] Mich (Talk | contribs) (Created page with "==Solution== '''a)''' $$\nabla_k g_{ij} = \partial_k g_{ij} - g_{nj} \Gamma^n_{kj} - g_{in}\Gamma^n_{kj} =$$ $$ = \partial_k g_{ij} - g_{nj}(\frac{1}{2} g^{np}(\partial_k g_...")
- 19:24, 13 June 2015 Aufgaben:Problem 13 (hist) [12,390 bytes] Carl (Talk | contribs) (Created page with " ==Task== Let G be a finite group. In the lectures we encountered two types of functions on G which were both called characters: 1. Let \( C_1 = {e}, C_2,...,C_k\) be the co...")
- 21:09, 11 June 2015 Aufgaben:Problem 8 (hist) [5,244 bytes] Carl (Talk | contribs) (Created page with "==Task== Let \(R < 0\). On \(\mathbb{R}^2\), consider the metric $$ g(u,v) = \frac{4R^4}{(R^2+u^2+v^2)^2} \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix},\ (u,v) \in \mathbb{R}^...")
- 10:08, 10 June 2015 Aufgaben:Problem 1 (hist) [2,773 bytes] Simfeld (Talk | contribs) (→Problem 1)
- 18:09, 9 June 2015 Aufgaben:Problem 4 (hist) [5,926 bytes] Trubo-Warrior (Talk | contribs) (Created page with "Check out the document Lie-Gruppen, Bsp. 3.2 for part a) here: https://www.dropbox.com/sh/su8ja1eynb449nr/AABIiXtiB6SNdwjjWYtYN8Tua?dl=0.")
- 18:07, 9 June 2015 Aufgaben:Problem 14 (hist) [15,022 bytes] Brynerm (Talk | contribs) (Created page with "== Task == Let \(G\) be a finite Abelian group. a) Prove that the group homomorphisms \(\chi : G → \mathbb{C}^*\) are exactly the characters of irreducible representations...")
- 17:50, 9 June 2015 Aufgaben:Problem 2 (hist) [4,414 bytes] Trubo-Warrior (Talk | contribs) (Created page with "You might want to check out page 33 here: [http://math.mit.edu/~etingof/replect.pdf]. This identity is used to prove ''Maschke's Theorem'', so a Google search concerning this...")
- 15:58, 9 June 2015 Aufgaben:Problem 15 (hist) [6,592 bytes] Yzemp (Talk | contribs) (Created page with "Let \(f) be a continuous real-valued function on \mathbb{R}^n. Let \(B = B_1(0)) denote the unit ball in \mathbb{R}^3 . We define")
- 13:39, 9 June 2015 Aufgaben:Problem 12 (hist) [6,053 bytes] Madiso (Talk | contribs) (Created page with "Hamiltonian of a 1D fermionic oscillator $$ H_F = -i\omega\psi_1\psi_2, $$ where the fermionic wave functions anticommute \begin{equation} \{\psi_i,\psi_j\} = \hbar\delta_{ij}...")
- 08:25, 9 June 2015 Aufgaben:Problem 11 (hist) [3,507 bytes] Nik (Talk | contribs) (Created page with "==Problem== Let \(u\) be a harmonic function on \(\mathbb{R}^3\). Assusme there exists \(C>0\), independent of \(x\), such that \(|u(x)| \leq C(1+|x|)\) on \(\mathbb{R}^3\). S...")
- 20:03, 8 June 2015 Aufgaben:Problem 6 (hist) [6,118 bytes] Zuluca (Talk | contribs) (Created page with "Follow the link! [https://polybox.ethz.ch/public.php?service=files&t=1f675c21939d90408ed25593b9bfa5f9]")
- 15:11, 8 June 2015 Aufgaben:Problem 5 (hist) [3,482 bytes] Sheldon (Talk | contribs) (Created page with "[https://polybox.ethz.ch/public.php?service=files&t=3cd27159ac0fca5b53c53fe4cff98dcc]")
- 11:30, 8 June 2015 Aufgaben:Problem 7 (hist) [17,014 bytes] Un vieil homme (Talk | contribs) (Created page with "==SOLUTION== See [https://unapologetic.wordpress.com/2010/11/08/the-character-table-of-s4/]")
- 11:03, 8 June 2015 Aufgaben:Problem 3 (hist) [3,468 bytes] Brynerm (Talk | contribs) (Created page with "Let G be a finite group. For a given g \in G we consider the map L_g : G \rightarrow G, g \mapsto gg'. a) Prove that L : g \mapsto L_g defines a map G \rightarrow SymG where S...")
- 08:20, 13 May 2015 Main Page (hist) [293 bytes] Paddy (Talk | contribs) (Created page with "== Signup == Hi all! As we had a super group last semester, we try it again. This time we ask you to create a account and subscribe to this list. We ask you to put in at least...")