Difference between revisions of "Template:Blockbox"
Line 25: | Line 25: | ||
<th><math>{\rm mf}_k(B)=</math></th> | <th><math>{\rm mf}_k(B)=</math></th> | ||
<td>{{{k-morita-frob}}}</td> | <td>{{{k-morita-frob}}}</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <th><math>{\rm Pic}_k(B)=</math></th> | ||
+ | <td>{{{Pic-k}}}</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th>Cartan matrix</th> | <th>Cartan matrix</th> | ||
<td>{{{cartan}}}</td> | <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>Source algebras known?</th> | ||
+ | <td>{{{source?}}}</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <th>Source algebra reps</th> | ||
+ | <td>{{{sourcereps}}}</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <th>Derived equivalence classes known (w.r.t.)?</th> | ||
+ | <td>{{{derived-known?}}}</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <th>Derived equivalent to</th> | ||
+ | <td>{{{Derived}}}</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> |
Revision as of 07:42, 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}}} |
Derived equivalence classes known (w.r.t.)? | {{{derived-known?}}} |
Derived equivalent to | {{{Derived}}} |