$GL_n$-Invariant tensors and graphs

Martin Markl

Address: Mathematical Institute of the Academy Žitná 25, 115 67 Prague 1, The Czech Republic

E-mail: markl@math.cas.cz

Abstract: We describe a correspondence between $\mbox {GL}_n$-invariant tensors and graphs. We then show how this correspondence accommodates various types of symmetries and orientations.

AMSclassification: primary 20G05.

Keywords: invariant tensor, general linear group, graph.