A REMARKABLE CLASS OF NONSYMMETRIC DIPOLARIZATIONS IN LIE ALGEBRAS
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概要
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"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."
- Yokohama City University and Yokohama National Universityの論文
- 1995-00-00
Yokohama City University and Yokohama National University | 論文
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