Geodesic
Hilbert series, Howe duality and branching for classical groups
Thomas J. Enright1 ; Jeb F. Willenbring2
1 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112, United States
2 Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413, United States
Annals of mathematics, Tome 159 (2004) no. 1, pp. 337-375.

Voir la notice de l'article provenant de la source Annals of Mathematics website

An extension of the Littlewood Restriction Rule is given that covers all pertinent parameters and simplifies to the original under Littlewood’s hypotheses. Two formulas are derived for the Gelfand-Kirillov dimension of any unitary highest weight representation occurring in a dual pair setting, one in terms of the dual pair index and the other in terms of the highest weight. For a fixed dual pair setting, all the irreducible highest weight representations which occur have the same Gelfand-Kirillov dimension.
DOI : 10.4007/annals.2004.159.337

Thomas J. Enright 1 ; Jeb F. Willenbring 2

1 Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112, United States
2 Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413, United States 
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Thomas J. Enright; Jeb F. Willenbring. Hilbert series, Howe duality and branching for classical groups. Annals of mathematics, Tome 159 (2004) no. 1, pp. 337-375. doi : 10.4007/annals.2004.159.337. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.337/

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