@article { author = {Yu, Xiaoxiang and Wang, Dengyin}, title = {Maximal prehomogeneous subspaces on classical groups}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {1}, pages = {55-81}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.}, keywords = {prehomogeneous space,adjoint action,orthogonal,symplectic,orbit}, url = {http://bims.iranjournals.ir/article_483.html}, eprint = {http://bims.iranjournals.ir/article_483_e3bd93459034ea5c23b49e16867e543d.pdf} }