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Table 2 Commutator table of the Lie algebra of Eq. (3.31)

From: Symmetry analysis and equivalence transformations for the construction and reduction of constitutive models

 

\(\varvec{v}^1_2\)

\(\varvec{v}^2_2\)

\(\varvec{v}^3_2\)

\(\varvec{v}^4_2\)

\(\varvec{v}^1_2\)

0

0

\((c+1)\varvec{v}^1_2\)

\(2(c+1)\varvec{v}^1_2\)

\(\varvec{v}^2_2\)

0

0

\((c+1)\varvec{v}^2_2\)

\((c+1)\varvec{v}^2_2\)

\(\varvec{v}^3_2\)

\(-(c+1)\varvec{v}^1_2\)

\(-(c+1)\varvec{v}^2_2\)

0

0

\(\varvec{v}^4_2\)

\(-2(c+1)\varvec{v}^1_2\)

\(-(c+1)\varvec{v}^2_2\)

0

0