Difference between revisions of "Template:Blockbox"

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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 08:42, 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}}}