NDLI: Discrete automorphism groups of convex cones of finite type

Content Provider	Scilit
Author	Looijenga, Eduard
Copyright Year	2014
Description	Journal: Compositio Mathematica We investigate subgroups of $\text{SL}(n,\mathbb{Z})$ which preserve an open nondegenerate convex cone in $\mathbb{R}^{n}$ 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 self-dual cones, Weyl groups of certain Kac–Moody algebras, and they do occur in algebraic geometry as the automorphism groups of projective manifolds acting on their ample cones.
Ending Page	1962
Starting Page	1939
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x14007404
Journal	Compositio Mathematica
Issue Number	11
Volume Number	150
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2014-09-10
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Convex Cone Automorphism Groups
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Discrete automorphism groups of convex cones of finite type