Let G be a reductive Nash group,acting on a Nash manifold X.Let Z be a G-stable closed Nash submanifold of X and denote by U the complement of Z in X.Letχbe a character of G and denote by g the complexified Lie algeb...Let G be a reductive Nash group,acting on a Nash manifold X.Let Z be a G-stable closed Nash submanifold of X and denote by U the complement of Z in X.Letχbe a character of G and denote by g the complexified Lie algebra of G.We give a sufficient condition for the natural linear map H_(k)(g,S(U)×χ)→H_k(g,S(X)×χ)between the Lie algebra homologies of Schwartz functions to be an isomorphism.For k=0,by considering the dual,we obtain the automatic extensions of g-invariant(twisted by-χ)Schwartz distributions.展开更多
The program OASIS4.0 has been released. Apart from the improved single-wavelength anomalous diffraction （SAD） phasing algorithm described in a separate paper, an important new feature in this version is the automati...The program OASIS4.0 has been released. Apart from the improved single-wavelength anomalous diffraction （SAD） phasing algorithm described in a separate paper, an important new feature in this version is the automation of the iterative phasing and model-building process in solving protein structures. A new graphical user＇s interface （GUI） is provided for controlling and real-time monitoring the dual-space iterative process. The GUI is discussed in detail in the present paper.展开更多
基金the Fundamental Research Funds for the Central Universities(JUSRP121045)the NSF of Jiangsu Province(BK20221057)。
文摘Let G be a reductive Nash group,acting on a Nash manifold X.Let Z be a G-stable closed Nash submanifold of X and denote by U the complement of Z in X.Letχbe a character of G and denote by g the complexified Lie algebra of G.We give a sufficient condition for the natural linear map H_(k)(g,S(U)×χ)→H_k(g,S(X)×χ)between the Lie algebra homologies of Schwartz functions to be an isomorphism.For k=0,by considering the dual,we obtain the automatic extensions of g-invariant(twisted by-χ)Schwartz distributions.
基金Project supported by the Innovation Foundation of the Chinese Academy of Sciences,and the National Basic Research Program of China(Grant No.2002CB713801)
文摘The program OASIS4.0 has been released. Apart from the improved single-wavelength anomalous diffraction （SAD） phasing algorithm described in a separate paper, an important new feature in this version is the automation of the iterative phasing and model-building process in solving protein structures. A new graphical user＇s interface （GUI） is provided for controlling and real-time monitoring the dual-space iterative process. The GUI is discussed in detail in the present paper.
