Is the representation dimension of the trivial extension algebra of k[x,y]/(x^2,y^2,xy+qyx) equal to 4?

01 January 2016 1 8K Report

It is well known that the reprensentation dimension of k[x,y]/(x^2,y^2,xy+qyx) is 3, where q is a nonzero element in k. And how to compute the representation dimension of its trivial extension algebras ?

Felix Ulmer

for any given q the GAP GBNP package (free) should do

http://www.gap-system.org/Packages/gbnp.html

For a generic answer you may consider working over

k[q]

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