Dirk Mittenhuber: A globality theorem for wedges that are bounded by a hyperplane ideal Journal of Lie Theory, vol. 2 (2), p. 213-221 We consider a Lie group \$G\$ containing a normal subgroup \$N\unlhd G\$ such that \$G/N\cong\reals\$, i.e the Lie algebra \$\n\$ is a hyperplane ideal in \$\g\$. A natural question that arises in this context is the following: Suppose we are given a Lie-wedge \$W\$ which is contained in a halfspace bounded by \$\n\$. Under which conditions is \$W\$ global in \$G\$? We will prove globality for all pointed wedges \$W\$ such that there exists another wedge \$W'\subseteq\n\$ which is global in~\$N\$ and satisfies \$(W\cap{\n})\supseteq\interior_{\scriptstyle\n}(W')\cup\{0\}\$. Especially our result applies to the groups and Lorentzian wedges considered by Levichev and Levicheva in this volume. As another application, we solve the globality problem of the Heisenberg-algebra, i.e. we give a complete characterization of all Lie-wedges that are global in the Heisenberg-group.