On the dual pairs \((O(p,q), SL(2,\mathbb{R}))\), \((U(p,q), U(1,1))\) and \((Sp(p,q), O^*(4))\)

DOI10.2140/pjm.1999.187.349zbMath0930.22015OpenAlexW2058362338MaRDI QIDQ1305087

Eng-Chye Tan, Annegret Paul

Publication date: 7 February 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.187.349

zbMATH Keywords

reductive grouposcillator representationtheta lifttheta correspondencedual pair

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

Group averaging in the (p,q) oscillator representation of SL(2,R)

This page was built for publication: On the dual pairs \((O(p,q), SL(2,\mathbb{R}))\), \((U(p,q), U(1,1))\) and \((Sp(p,q), O^*(4))\)