R. Zierau

activity

19952024

most citedExamples of leading term cycles of Harish-Chandra modules

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

math.RT2024

On the associated variety of a highest weight Harish-Chandra module

Zhanqiang Bai, Markus Hunziker, Xun Xie +1

We prove a simple formula that calculates the associated variety of a highest weight Harish-Chandra module directly from its highest weight. We also give a formula for the Gelfand-…

math.RT2017

Computing the associatied cycles of certain Harish-Chandra modules

Salah Mehdi, Pavle Pandzic, David Vogan +1

Let $G_{R}$ be a simple real linear Lie group with maximal compact subgroup $K_{R}$ and assume that $rank (G_{R}) = rank (K_{R})$ . In \cite{…

math.RT2017

Dirac Index and associated cycles of Harish-Chandra modules

Salah Mehdi, Pavle Pandzic, David Vogan +1

Let $G_{R}$ be a simple real linear Lie group with maximal compact subgroup $K_{R}$ and assume that $rank (G_{R}) = rank (K_{R})$ . For any r…

math.RT2017

Characteristic cycles of highest weight Harish-Chandra modules

R. Zierau

Characteristic cycles and leading term cycles of irreducible highest weight Harish-Chandra modules of regular integral infinitesimal character are determined. In the simply laced c…

math.RT2015

Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R)

Leticia Barchini, Roger Zierau

Characteristic cycles,leading term cycles,associated varieties and Harish-Chandra cells are computed for the family of highest weight Harish-Chandra modules for Sp(2n, R) having re…

math.RT2014★ 2 cited

Examples of leading term cycles of Harish-Chandra modules

L. Barchini, R. Zierau

Many examples are given of irreducible Harish-Chandra modules for type C having reducible leading term cycles. Examples are also given of irreducibles in category O having reducibl…

math.RT1996

Prehomogeneous vector spaces and ergodic theory II

Akihiko Yukie, Roger Zierau, Dave Witte

We apply M. Ratner's theorem on closures of unipotent orbits to the study of three families of prehomogeneous vector spaces. As a result, we prove analogues of the Oppenheim Conjec…

math.RT1995

On the automorphism groups of complex homogeneous spaces

Edward G. Dunne, Roger Zierau

If G is a (connected) complex Lie Group and Z is a generalized flag manifold for G, the the open orbits D of a (connected) real form G_0 of G form an interesting class of complex h…