Roger Zierau


Recent Papers:

Square Integrable Harmonic Forms and Representation Theory , Leticia Barchini and Roger Zierau, Duke Math. Journal, Vol 92, No. 3 (1998), pp. 645-664.

Representations in Dolbeault Cohomology, Roger Zierau, Representation Theory of Lie Groups, Park City Math Institute, vol. 8, AMS, Providence RI, 2000.

Linear Cycle Spaces in Flag Domains , Joseph A. Wolf and Roger Zierau, Math. Annalen, Vol 316 (2000), pp. 529-545. DVI File

Holomorphic Double Fibration Transforms , Joseph A. Wolf and Roger Zierau. In The Mathematical Legacy of Harish-Chandra. PSPM Vol. 68, Ed. Robert S. Doran and V.S. Varadarajan, AMS 2000. DVI File

Domains of Holomorphy and Representations of SL(n,R), Leticia Barchini, Christina Leslie and Roger Zierau. Manuscripta Mathematica Vol. 106, no. 4 (2001), pp. 411-427.

Harmonic spinors on semisimple symmetric spaces, Salah Mehdi and Roger Zierau. Journal of Functional Analysis Vol. 198 (2003), no. 2, pp. 536-557

Positivity of zeta distributions and small unitary representations, L. Barchini, M. Sepanski and R. Zierau. In The ubiquitous heat kernel, 1--46, Contemp. Math., 398, Amer. Math. Soc., Providence, RI, 2006.

Principal Series Representations and Harmonic Spinors, S. Mehdi and R. Zierau. Adv. Math. 199 (2006), no. 1, 1--28.

Certain components of the Springer fiber and associated cycles for discrete series representations of SU(p,q) , L. Barchini and R. Zierau, with an appendix by Peter E. Trapa. (Formerly titled Remarks on the characteristic cycles of discrete series representations for SU(p,q).)

Conformally invariant systems of differential equations and prehomogeneous vector spaces of heisenberg parabolic type, L. Barchini, A. C. Kable and R. Zierau, to appear in Publ. PRIMS, Kyoto Univ.

Conformally invariant systems of differential operators, L. Barchini, A. C. Kable and R. Zierau

Certain components of Springer fibers: algorithms, examples and applications, L. Barchini and R. Zierau

Notes:

Course presentated as part of the ICE-EM Graduate school in Brisbane, Australia Differential opperators on homogeneous spaces, L. Barchini and R. Zierau