SUNTF[{a}, i, j]
is the generator in the fundamental representation. The fundamental indices are explicit.
Overview, SUNFindex, SUNT, SUNSimplify.
[a, i, j] SUNTF
[{a, b}, i, j] SUNTF
SUNTF
are -numbers, hence they are commutative objects and do not require a dot
[{a, b}, i, j] SUNTF[{c, d}, j, k] SUNTF
[{a, b}, i, j] SUNTF[{c, d}, j, k] // SUNSimplify SUNTF
A chain with closed indices is automatically converted into a trace
[{a, b}, i, j] SUNTF[{c, d}, j, i] // SUNSimplify SUNTF
[a, b] SUNTF[{a, b}, i, j] SUNTF[{c, d}, j, i] // SUNSimplify SUNDelta
[{a, b}, i, j] // FCI // StandardForm
SUNTF
(*SUNTF[{SUNIndex[a], SUNIndex[b]}, SUNFIndex[i], SUNFIndex[j]]*)