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Bases for some reciprocity algebras III

Published online by Cambridge University Press:  24 November 2006

Roger Howe  and
Soo Teck Lee
Roger Howe
Affiliation:
Department of Mathematics, Yale University, New Haven, CT 06520-8283, USAhowe@math.yale.edu
Soo Teck Lee
Affiliation:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singaporematleest@nus.edu.sg
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Abstract

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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.

Keywords

branching rulesreciprocity algebrasSAGBI basis22E46 (primary)
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 6 , November 2006 , pp. 1594 - 1614
Copyright
Foundation Compositio Mathematica 2006