Difference between revisions of "Template:Blockbox"
(Added covered and covering blocks) |
(Index p covering and PI(B)) |
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| Line 62: | Line 62: | ||
<th><math>{\rm Pic}_{\mathcal{O}}(B)=</math></th> | <th><math>{\rm Pic}_{\mathcal{O}}(B)=</math></th> | ||
<td>{{{Pic-O}}}</td> | <td>{{{Pic-O}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>PI(B)=</math></th> | ||
| + | <td>{{{PIgroup}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 90: | Line 94: | ||
<th><math>p'</math>-index covered blocks</th> | <th><math>p'</math>-index covered blocks</th> | ||
<td>{{{coveredblocks}}}</td> | <td>{{{coveredblocks}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Index <math>p</math> covering blocks</th> | ||
| + | <td>{{{pcoveringblocks}}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> | ||
Revision as of 16:57, 21 October 2018
Blockbox
[[File:{{{image}}}|250px]]
| Representative: | {{{representative}}} |
|---|---|
| Defect groups: | {{{defect}}} |
| Inertial quotients: | {{{inertialquotients}}} |
| [math]k(B)=[/math] | {{{k(B)}}} |
| [math]l(B)=[/math] | {{{l(B)}}} |
| [math]{\rm mf}_k(B)=[/math] | {{{k-morita-frob}}} |
| [math]{\rm Pic}_k(B)=[/math] | {{{Pic-k}}} |
| Cartan matrix: | {{{cartan}}} |
| Defect group Morita invariant? | {{{defect-morita-inv?}}} |
| Inertial quotient Morita invariant? | {{{inertial-morita-inv?}}} |
| [math]\mathcal{O}[/math]-Morita classes known? | {{{O-morita?}}} |
| [math]\mathcal{O}[/math]-Morita classes: | {{{O-morita}}} |
| Decomposition matrices: | {{{decomp}}} |
| [math]{\rm mf}_\mathcal{O}(B)=[/math] | {{{O-morita-frob}}} |
| [math]{\rm Pic}_{\mathcal{O}}(B)=[/math] | {{{Pic-O}}} |
| [math]PI(B)=[/math] | {{{PIgroup}}} |
| Source algebras known? | {{{source?}}} |
| Source algebra reps: | {{{sourcereps}}} |
| [math]k[/math]-derived equiv. classes known? | {{{k-derived-known?}}} |
| [math]k[/math]-derived equivalent to | {{{k-derived}}} |
| [math]\mathcal{O}[/math]-derived equiv. classes known? | {{{O-derived-known?}}} |
| [math]p'[/math]-index covering blocks | {{{coveringblocks}}} |
| [math]p'[/math]-index covered blocks | {{{coveredblocks}}} |
| Index [math]p[/math] covering blocks | {{{pcoveringblocks}}} |
