View source for M(16,2,1)

{{blockbox
|title = M(16,2,1) - <math>k(C_4 \times C_4)</math> 
|image = M(4,2,1)quiver.png
|representative =  <math>k(C_4 \times C_4)</math>
|defect = <math>C_4 \times C_4</math>
|inertialquotients = <math>1</math>
|k(B) = 16
|l(B) = 1
|k-morita-frob = 1 
|Pic-k= 
|cartan = <math>\left( \begin{array}{c}
16 \\
\end{array} \right)</math>
|defect-morita-inv? = Yes
|inertial-morita-inv? = Yes
|O-morita? = Yes
|O-morita = <math>\mathcal{O} (C_4 \times C_4)</math>
|decomp = <math>\left( \begin{array}{c}
1 \\
1 \\
\vdots \\
1 \\
\end{array}\right)</math>
|O-morita-frob = 1
|Pic-O = <math>(C_4 \times C_4):{\rm Aut}(C_4 \times C_4)</math>
|source? = No
|sourcereps = 
|k-derived-known? = Yes
|k-derived = Forms a derived equivalence class
|O-derived-known? = Yes
|coveringblocks = [[M(16,2,2)]]
|coveredblocks =
}}

These are [[Nilpotent blocks|nilpotent blocks]].

== Basic algebra ==

'''Quiver:''' a:<1,1>, b:<1,1>

'''Relations w.r.t. <math>k</math>:''' a^4=b^4=ab+ba=0

== Other notatable representatives ==



== Projective indecomposable modules ==

Labelling the unique simple <math>B</math>-module by <math>1</math>, the unique projective indecomposable module has Loewy structure as follows:

<math>\begin{array}{c}
     1 \\
     1 \ 1  \\
     1 \ 1 \ 1 \\
     1 \ 1 \ 1 \ 1 \\
     1 \ 1 \ 1 \\
     1 \ 1 \\
     1 \\
   \end{array}
</math>

== Irreducible characters ==

All irreducible characters have height zero.