Invariant valuations on quaternionic vector spaces

Details Invariant valuations on quaternionic vector spaces Invariant valuations on quaternionic vector spaces

2010-05-20

arxiv.org/abs/1005.3654v1

Mathematics

Differential Geometry

33 pages

Scientific paper

The spaces of Sp(n)-, Sp(n)U(1)- and Sp(n)Sp(1)- invariant, translation
invariant, continuous convex valuations on the quaternionic vector space H^n
are studied. Combinatorial dimension formulas involving Young diagrams and
Schur polynomials are proved.

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