Tr [ ( MatrixCoefficients ( A 2 ) ( K 1 ) ) ( TensorPowerVectorSpace ( Irrep ( A 2 ) ( { 1 , 0 } ) , Knot ( 3 , 1 ) ) , FundamentalBasis ) . ( MatrixCoefficients ( A 2 ) ( K 1 ) ) ( TensorPowerVectorSpace ( Irrep ( A 2 ) ( { 1 , 0 } ) , Knot ( 3 , 1 ) ) , FundamentalBasis ) . ( MatrixCoefficients ( A 2 ) ( K 2 ) ) ( TensorPowerVectorSpace ( Irrep ( A 2 ) ( { 1 , 0 } ) , Knot ( 3 , 1 ) ) , FundamentalBasis ) . ( MatrixCoefficients ( A 2 ) ( K 2 ) ) ( TensorPowerVectorSpace ( Irrep ( A 2 ) ( { 1 , 0 } ) , Knot ( 3 , 1 ) ) , FundamentalBasis ) . BR ( Knot ( 3 , 1 ) ) ( A 2 , Irrep ( A 2 ) ( { 1 , 0 } ) , FundamentalBasis ) ] {\displaystyle {\textrm {Tr}}\left[\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{1}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{1}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{2}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{2}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).{\textrm {BR}}({\textrm {Knot}}(3,1))\left(A_{2},{\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {FundamentalBasis}}\right)\right]}
![{\displaystyle {\textrm {Tr}}\left[\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{1}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{1}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{2}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).\left({\textrm {MatrixCoefficients}}\left(A_{2}\right)\left(K_{2}\right)\right)\left({\textrm {TensorPowerVectorSpace}}\left({\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {Knot}}(3,1)\right),{\textrm {FundamentalBasis}}\right).{\textrm {BR}}({\textrm {Knot}}(3,1))\left(A_{2},{\textrm {Irrep}}\left(A_{2}\right)(\{1,0\}),{\textrm {FundamentalBasis}}\right)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/51da3459df4fadaff4229c540474d39ed8091371)
