Difference between revisions of "Template:Blockbox"
| Line 3: | Line 3: | ||
<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 31: | Line 31: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th>Cartan matrix</th> | + | <th>Cartan matrix:</th> |
<td>{{{cartan}}}</td> | <td>{{{cartan}}}</td> | ||
</tr> | </tr> | ||
| Line 47: | Line 47: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th><math>\mathcal{O}</math>-Morita classes</th> | + | <th><math>\mathcal{O}</math>-Morita classes:</th> |
<td>{{{O-morita}}}</td> | <td>{{{O-morita}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th>Decomposition matrices</th> | + | <th>Decomposition matrices:</th> |
<td>{{{decomp}}}</td> | <td>{{{decomp}}}</td> | ||
</tr> | </tr> | ||
| Line 67: | Line 67: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th>Source algebra reps</th> | + | <th>Source algebra reps:</th> |
<td>{{{sourcereps}}}</td> | <td>{{{sourcereps}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th> | + | <th><math>k</math>-derived equiv. classes known?</th> |
| − | <td>{{{derived-known?}}}</td> | + | <td>{{{k-derived-known?}}}</td> |
</tr> | </tr> | ||
<tr> | <tr> | ||
| − | <th> | + | <th><math>k</math>-derived equivalent to</th> |
| − | <td>{{{ | + | <td>{{{k-derived}}}</td> |
| + | </tr> | ||
| + | <tr> | ||
| + | <th><math>\mathcal{O}</math>-derived equiv. classes known?</th> | ||
| + | <td>{{{k-derived-known?}}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> | ||
Revision as of 08:54, 30 August 2018
Blockbox
| 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}}} |
| 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? | {{{k-derived-known?}}} |
