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Bases for some reciprocity algebras III

  • Roger Howe (a1) and Soo Teck Lee (a2)

Abstract

We construct bases for the stable branching algebras for the symmetric pairs $(\mathrm{GL}_{2n},\mathrm{Sp}_{2n}),\ (\mathrm{Sp}_{2(n+m)}, \mathrm{Sp}_{2n}\times\mathrm{Sp}_{2m})$ and $(\mathrm{O}_{2n},\mathrm{GL}_{n})$. Each basis element is expressed as a sum of products of pfaffians.

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Bases for some reciprocity algebras III

  • Roger Howe (a1) and Soo Teck Lee (a2)

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