@article{oai:ynu.repo.nii.ac.jp:00006897, author = {Meng, Daoji and Deng, Shaoqiang and Kaneyuki, Soji}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, A dipolarization in a Lie algebra $¥mathfrak{g}$ is a pair of polarizations $(¥mathfrak{g}^{+},f)$ and $(¥mathfrak{g}^{-}, f)$ satisfying the conditions: the two subalgebras $g^{f}$ span $¥mathfrak{g}$ , and the intersection $¥mathfrak{g}^{+}¥cap ¥mathfrak{g}^{-}$ is the isotropy subalgebra at the linear form $f$ with respect to the coadjoint representation of $¥mathfrak{g}$ . We construct here a class of dipolarizations in certain solvable Lie algebras for which the two subalgebras of dipolarization are not isomorphic.}, pages = {117--124}, title = {A REMARKABLE CLASS OF NONSYMMETRIC DIPOLARIZATIONS IN LIE ALGEBRAS}, volume = {43}, year = {1995} }