3 citations · 3 across the 5 of their papers we have counts for
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Isometries of Clifford algebras II
Patrick Eberlein
Let F be a field of characteristic different from 2, and let denote the vector space of n-tuples of elements in F. Let denote the canonical basis of…
Isometries of Clifford Algebras I
Patrick Eberlein
Let be a finite dimensional vector space over a field of characteristic different from 2, and let be a nondegenerate, symmetric, bilinear form on . Let …
Central conjugate locus of 2-step nilpotent Lie groups
Patrick Eberlein
The goals of this article are twofold : 1) to compute the conjugate locus of a geodesic that lies in the center of a simply connected, 2-step nilpotent Lie group with a left invari…
Growth Estimates for Orbits of Self Adjoint Groups
Patrick Eberlein
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let d_{R} denote the canonical right invariant Riemannian metric on G. For v in R^{n} let G_{v}…
2-step nilpotent Lie groups arising from semisimple modules
Patrick Eberlein
Every finite dimensional real representation of a compact real semisimple Lie algebra determines a metric 2-step nilpotent Lie algebra and a corresponding simply connected metric 2…