@article{oai:u-ryukyu.repo.nii.ac.jp:02005428, author = {Maeda, Takashi and 前田, 高士}, journal = {Ryukyu mathematical journal}, month = {Dec}, note = {The third component of the graded minimal free resolution of the third Veronese subring of three variables over a field k of characteristic zero, is proved to be decomposed into {741} 【○!+】 {732} 【○!+】 {651} 【○!+】 {642} 【○!+】 {633} 【○!+】 {552} 【○!+】 {543} 【○!×】 S(-4) as GL_3(k)-module, where {n, m, l} is the irreducible representation of GL_3(k) with the highest weight (n, m, l) and S is the polynomial ring of ten variables. They are expressed applying the symbolic method of ternary cubic forms in the classical invariant theory., 紀要論文}, pages = {9--30}, title = {Minimal free resolution of the third Veronese subring of three variables}, volume = {12}, year = {1999} }