Quantum cohomology of flag manifolds G/B and quantum Toda lattices
Quantum cohomology of flag manifolds G/B and quantum Toda lattices
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DOI：
10.2307/121021
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发表时间：
1996-07
影响因子：
4.9
通讯作者：
Bumsig Kim
中科院分区：
文献类型：
--
作者：
Bumsig Kim
设G是连通半单复李群，B是它的Borel子群，T是包含在B中的极大复环面，Lie（T）是它的李代数.这种设置产生了两种构造;广义非周期户田格（[28]，[29]）和旗流形G/B。（G，B，T）的户田格是余切丛T ∈ Lie（T）上的动力系统，它具有正则全纯辛形式和本文所考虑的全纯Hamilton函数，
Let G be a connected semi-simple complex Lie group, B its Borel subgroup, T a maximal complex torus contained in B, and Lie (T ) its Lie algebra. This setup gives rise to two constructions; the generalized nonperiodic Toda lattice ([28], [29]) and the flag manifold G/B. The Toda lattice for (G,B, T ) is the dynamical system on the cotangent bundle T ∗Lie (T ) endowed with the canonical holomorphic symplectic form and the holomorphic hamiltonian function we consider in this paper,