On complex weakly commutative homogeneous spaces
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I. V. Losev
Translated by: O. A. Khleborodova - Trans. Moscow Math. Soc. 2006, 199-223
- DOI: https://doi.org/10.1090/S0077-1554-06-00155-5
- Published electronically: December 27, 2006
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Abstract:
Let $G$ be a complex algebraic group and $L$ an algebraic subgroup of $G$. The quotient space $G/L$ is called weakly commutative if a generic orbit of the action $G:T^*(G/L)$ is a coisotropic submanifold. We classify weakly commutative homogeneous spaces $N\leftthreetimes L/L$ in the case where $L$ is a reductive group and the natural representation $L:\mathfrak n/[\mathfrak n,\mathfrak n]$, where $\mathfrak n$ is the tangent algebra of the group $N$, is irreducible.References
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Bibliographic Information
- I. V. Losev
- Affiliation: 19–706, 2nd Bagration Per., Minsk 220037, Belarus
- Email: ivanlosev@yandex.ru
- Published electronically: December 27, 2006
- © Copyright 2006 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2006, 199-223
- MSC (2000): Primary 53C30; Secondary 22F30, 53D05
- DOI: https://doi.org/10.1090/S0077-1554-06-00155-5
- MathSciNet review: 2301594