Two More Variations on the Triangular Theme

  • A. A. Kirillov
Part of the Progress in Mathematics book series (PM, volume 213)


The orbit method was created 40 years ago (see [K1]) in the attempt to describe the unitary dual N for the group N of upper triangular matrices with units on the main diagonal.


Irreducible Character Cluster Character Coadjoint Orbit Character Formula Coxeter Element 
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    Kirillov, A.A., Variations on the triangular theme. In E.B. Dynkin Sem-inar on Lie Groups, Amer. Math. Soc. Transl., Ser. 2, 1995, pp. 43–73.Google Scholar
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    Kirillov A.A., Melnikov A., On a remarkable sequence of polynomials. In Algèbre Non-commutative, Groupes Quantiques et Invariants, Rencontre Franco-Belge, Reims 1995 (J. Alev, G. Cauchon, eds.), Publication SMF, No. 2, 1996, pp. 35–42.Google Scholar
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • A. A. Kirillov
    • 1
  1. 1.Department of MathematicsThe University of PennsylvaniaPhiladelphiaUSA

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