Gerald W. Schwarz

activity

20052025

most citedStratifications with respect to actions of real reductive groups

34 citations · 99 across the 24 of their papers we have counts for

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9 papers · 1 filter

math.RT2013★ 1 cited

Lifting automorphisms of quotients of adjoint representations

Gerald W. Schwarz

Let $g_{i}$ be a simple complex Lie algebra, $1 \leq i \leq d$ , and let $G = G_{1} \times ... \times G_{d}$ be the corresponding adjoint group. Consider the $G$ -module $V=\oplus r_i\…

math.RT2012★ 15 cited

Arc spaces and the vertex algebra commutant problem

Andrew R. Linshaw, Gerald W. Schwarz, Bailin Song

Given a vertex algebra $V$ and a subalgebra $A \subset V$ , the commutant $Com (A, V)$ is the subalgebra of $V$ which…

math.RT2011

Reduced invariant sets

Gerald W. Schwarz

Let K be a compact Lie group and W a finite-dimensional real K-module. Let X be a K-stable real algebraic subset of W. Let I(X) denote the ideal of X in R[W] and let I_K(X) be the…

math.RT2009

Linear maps preserving orbits

Gerald W. Schwarz

Let H\subset\GL(V) be a connected complex reductive group where V is a finite-dimensional complex vector space. Let v\in V and let G=\{g\in\GL(V)\mid gHv = Hv\}. Following Raïs we…

math.RT2008★ 1 cited

Real double coset spaces and their invariants

Aloysius G. Helminck, Gerald W. Schwarz

Let G be a real form of a complex reductive group. Suppose that we are given involutions σand θof G. Let H=G^σdenote the fixed group of σand let K=G^θdenote the fixed group of θ. W…

math.RT2008

Isomorphisms preserving invariants

Gerald W. Schwarz

Let $V$ and $W$ be finite dimensional real vector spaces and let $G\subset\GL(V)$ and $H\subset\GL(W)$ be finite subgroups. Assume for simplicity that the actions contain no reflec…