Algebra theory MOC

Trace form

Let be an algebra over and be a finite-dimensional representation of . The trace form is the bilinear form on defined by1 #m/def/ralg

for .

#state/tidy | #lang/en | #SemBr

Footnotes

  1. Note the product of the algebra might not be represented as composition in the representation, e.g. for a Lie algebra representation. ↩