有限型凸锥的离散自同构群
Discrete automorphism groups of convex cones of finite type
摘要：
本文研究了SL（n，Z）的子群，它们在实n-空间中保持一个开的非退化凸锥，并在该锥中允许一个多面体锥作为其基本区，且允许该多面体锥的某些面位于其边界上.例子有作用于自对偶锥的算术群，某些卡茨-穆迪代数的外尔群，并且在代数几何中作为投射流形的自同构群作用于其充分锥。
英文摘要：
We investigate subgroups of SL (n,Z) which preserve an open nondegenerate convex cone in real n-space and admit in that cone as fundamental domain a polyhedral cone of which some faces are allowed to lie on the boundary. Examples are arithmetic groups acting on selfdual cones, Weyl groups of certain Kac-Moody algebras and do occur in algebraic geometry as the automorphism groups of projective manifolds acting on their ample cones.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
