Difference between revisions of "Template:Blockbox"
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| Line 1: | Line 1: | ||
<div class="blockbox"> | <div class="blockbox"> | ||
<div class="blockbox-title">{{{title|{{PAGENAME}}}}}</div> | <div class="blockbox-title">{{{title|{{PAGENAME}}}}}</div> | ||
| + | <div class="blockbox-image">[[File:{{{image}}}|250px]]</div> | ||
<table> | <table> | ||
<tr> | <tr> | ||
| − | <th>Representative</th> | + | <th>Representative:</th> |
<td>{{{representative}}}</td> | <td>{{{representative}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th>Defect groups</th> | + | <th>Defect groups:</th> |
<td>{{{defect}}}</td> | <td>{{{defect}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th>Inertial quotients</th> | + | <th>Inertial quotients:</th> |
<td>{{{inertialquotients}}}</td> | <td>{{{inertialquotients}}}</td> | ||
</tr> | </tr> | ||
| Line 21: | Line 22: | ||
<th><math>l(B)=</math></th> | <th><math>l(B)=</math></th> | ||
<td>{{{l(B)}}}</td> | <td>{{{l(B)}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>{\rm mf}_k(B)=</math></th> | ||
| + | <td>{{{k-morita-frob}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>{\rm Pic}_k(B)=</math></th> | ||
| + | <td>{{{Pic-k}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Cartan matrix:</th> | ||
| + | <td>{{{cartan}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Defect group Morita invariant?</th> | ||
| + | <td>{{{defect-morita-inv?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Inertial quotient Morita invariant?</th> | ||
| + | <td>{{{inertial-morita-inv?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>\mathcal{O}</math>-Morita classes known?</th> | ||
| + | <td>{{{O-morita?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>\mathcal{O}</math>-Morita classes:</th> | ||
| + | <td>{{{O-morita}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Decomposition matrices:</th> | ||
| + | <td>{{{decomp}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>{\rm mf}_\mathcal{O}(B)=</math></th> | ||
| + | <td>{{{O-morita-frob}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>{\rm Pic}_{\mathcal{O}}(B)=</math></th> | ||
| + | <td>{{{Pic-O}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>PI(B)=</math></th> | ||
| + | <td>{{{PIgroup}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Source algebras known?</th> | ||
| + | <td>{{{source?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>Source algebra reps:</th> | ||
| + | <td>{{{sourcereps}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>k</math>-derived equiv. classes known?</th> | ||
| + | <td>{{{k-derived-known?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>k</math>-derived equivalent to:</th> | ||
| + | <td>{{{k-derived}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>\mathcal{O}</math>-derived equiv. classes known?</th> | ||
| + | <td>{{{O-derived-known?}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>[[Glossary#p'-index covering blocks|<math>p'</math>-index covering blocks]]:</th> | ||
| + | <td>{{{coveringblocks}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>[[Glossary#p'-index covered blocks|<math>p'</math>-index covered blocks]]:</th> | ||
| + | <td>{{{coveredblocks}}}</td> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th>[[Glossary#Index p covering blocks|Index <math>p</math> covering blocks]]:</th> | ||
| + | <td>{{{pcoveringblocks}}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> | ||
Latest revision as of 20:00, 26 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}}} |
