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arXiv · 1005.3654

Invariant valuations on quaternionic vector spaces

Andreas Bernig
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Abstract

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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Andreas Bernig. 2010-05-20. Invariant valuations on quaternionic vector spaces. https://arxiv.org/abs/1005.3654

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