Difference between revisions of "Template:Blockbox"

From Block library
Jump to: navigation, search
(Index p covering and PI(B))
Line 80: Line 80:
 
</tr>
 
</tr>
 
<tr>
 
<tr>
     <th><math>k</math>-derived equivalent to</th>
+
     <th><math>k</math>-derived equivalent to:</th>
 
     <td>{{{k-derived}}}</td>
 
     <td>{{{k-derived}}}</td>
 
</tr>
 
</tr>
Line 88: Line 88:
 
</tr>
 
</tr>
 
<tr>
 
<tr>
     <th><math>p'</math>-index covering blocks</th>
+
     <th><math>p'</math>-index covering blocks:</th>
 
     <td>{{{coveringblocks}}}</td>
 
     <td>{{{coveringblocks}}}</td>
 
</tr>
 
</tr>
 
<tr>
 
<tr>
     <th><math>p'</math>-index covered blocks</th>
+
     <th><math>p'</math>-index covered blocks:</th>
 
     <td>{{{coveredblocks}}}</td>
 
     <td>{{{coveredblocks}}}</td>
 
</tr>
 
</tr>
 
<tr>
 
<tr>
     <th>Index <math>p</math> covering blocks</th>
+
     <th>Index <math>p</math> covering blocks:</th>
 
     <td>{{{pcoveringblocks}}}</td>
 
     <td>{{{pcoveringblocks}}}</td>
 
</tr>
 
</tr>
 
</table>
 
</table>
 
</div>
 
</div>

Revision as of 18:38, 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}}}