M(16,3,2)
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M(16,3,2) - [math]B_0(k(A_5:C_4))[/math]
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Representative: | [math]B_0(k(A_5:C_4))[/math] |
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Defect groups: | MNA(2,1) |
Inertial quotients: | [math]1[/math] |
[math]k(B)=[/math] | 10 |
[math]l(B)=[/math] | 2 |
[math]{\rm mf}_k(B)=[/math] | 1 |
[math]{\rm Pic}_k(B)=[/math] | |
Cartan matrix: | [math]\left( \begin{array}{cc} 16 & 8 \\ 8 & 6 \\ \end{array} \right)[/math] |
Defect group Morita invariant? | |
Inertial quotient Morita invariant? | |
[math]\mathcal{O}[/math]-Morita classes known? | |
[math]\mathcal{O}[/math]-Morita classes: | |
Decomposition matrices: | [math]\left( \begin{array}{cc} 1 & 0 \\ 1 & 0 \\ 1 & 0 \\ 1 & 0 \\ 2 & 1 \\ 2 & 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \\ \end{array}\right)[/math] |
[math]{\rm mf}_\mathcal{O}(B)=[/math] | |
[math]{\rm Pic}_{\mathcal{O}}(B)=[/math] | |
[math]PI(B)=[/math] | |
Source algebras known? | |
Source algebra reps: | |
[math]k[/math]-derived equiv. classes known? | |
[math]k[/math]-derived equivalent to: | |
[math]\mathcal{O}[/math]-derived equiv. classes known? | |
[math]p'[/math]-index covering blocks: | |
[math]p'[/math]-index covered blocks: | |
Index [math]p[/math] covering blocks: |
Contents
Basic algebra
Quiver:
Relations w.r.t. [math]k[/math]:
Other notatable representatives
Projective indecomposable modules
Irreducible characters
[math]k_0(B)=8[/math], [math]k_1(B)=2[/math]