nLab
intertwiner

Idea

The term intertwiner is a synonym for homomorphism of representations/actions/modules.

Notably for linear representations ρ 1\rho_1, ρ 2\rho_2 of some group or associative algebra AA on vector spaces V 1,V 2V_1, V_2, a linear map u:V 1V 2u : V_1 \to V_2 is said to intertwine ρ 1\rho_1 with ρ 2\rho_2 if for all aAa \in A we have that

uρ 1(a)=ρ 2(a)u. u \circ \rho_1(a) = \rho_2(a)\circ u \,.

Revised on February 3, 2013 21:34:53 by Urs Schreiber (89.204.153.115)