16 citations · 46 across the 8 of their papers we have counts for
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math.DG2008★ 15 cited
Loop Group Decompositions in Almost Split Real Forms and Applications to Soliton Theory and Geometry
David Brander
We prove a global Birkhoff decomposition for almost split real forms of loop groups, when an underlying finite dimensional Lie group is compact. Among applications, this shows that…
math.DG2008
Grassmann Geometries and Integrable Systems
David Brander
We describe how the loop group maps corresponding to special submanifolds associated to integrable systems may be thought of as certain Grassmann submanifolds of infinite dimension…