@article{oai:ynu.repo.nii.ac.jp:00007015, author = {Kaji, Hajime and Yasukura, Osami}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, When $n¥geq 2m$ , the orbit decomposition of $¥mathbb{C}``¥otimes C^{m}$ by the natural action of $SO_{n}¥mathbb{C}¥times GL_{m}¥mathbb{C}$ was studied more than twenty years ago. In this article, the orbit decomposition is given for any $n,$ $m¥geq 1$ . Then it turns out that there is an orbit which is not appeared in the literature when $n=2m$.}, pages = {39--61}, title = {THE CLASSIFICATION OF ORBITS BY A NATURAL ACTION OF CERTAIN REDUCTIVE LINEAR GROUPS}, volume = {53}, year = {2006} }