English

Invariant valuations on quaternionic vector spaces

Differential Geometry 2013-04-04 v1

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.

Cite

@article{arxiv.1005.3654,
  title  = {Invariant valuations on quaternionic vector spaces},
  author = {Andreas Bernig},
  journal= {arXiv preprint arXiv:1005.3654},
  year   = {2013}
}

Comments

33 pages

R2 v1 2026-06-21T15:25:29.831Z