# zbMATH — the first resource for mathematics

## Zierau, Roger

Compute Distance To:
 Author ID: zierau.roger Published as: Zierau, Roger; Zierau, R.
 Documents Indexed: 40 Publications since 1985, including 1 Book
all top 5

#### Co-Authors

 6 single-authored 15 Barchini, Leticia 6 Mehdi, Salah 6 Wolf, Joseph Albert 2 Binegar, Birne 2 Dunne, Edward George 2 Graham, William A. 2 Kable, Anthony C. 2 Pandžić, Pavle 2 Vogan, David Alexander jun. 1 Eastwood, Michael G. 1 He, Haian 1 Knapp, Anthony William 1 Kubo, Toshihisa 1 Sepanski, Mark R. 1 Witte Morris, Dave 1 Yukie, Akihiko
all top 5

#### Serials

 3 Advances in Mathematics 2 Journal of Algebra 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Lie Theory 2 Transformation Groups 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Glasnik Matematički. Serija III 1 Nova Journal of Algebra and Geometry 1 Representation Theory 1 Contemporary Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Kyoto Journal of Mathematics
all top 5

#### Fields

 38 Topological groups, Lie groups (22-XX) 8 Group theory and generalizations (20-XX) 7 Nonassociative rings and algebras (17-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 148 times in 108 Documents Cited by Year
Unitarization of a singular representation of $$\text{SO}(p,q)$$. Zbl 0748.22009
Binegar, B.; Zierau, R.
1991
Conformally invariant systems of differential operators. Zbl 1163.22007
Barchini, L.; Kable, Anthony C.; Zierau, Roger
2009
Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type. Zbl 1196.22011
Barchini, L.; Kable, Anthony C.; Zierau, Roger
2008
Intertwining operators into Dolbeault cohomology representations. Zbl 0761.22015
Barchini, L.; Knapp, A. W.; Zierau, R.
1992
Positivity of zeta distributions and small unitary representations. Zbl 1096.22008
Barchini, L.; Sepanski, M.; Zierau, R.
2006
Linear cycle spaces in flag domains. Zbl 0963.32015
Wolf, Joseph A.; Zierau, Roger
2000
Certain components of Springer fibers and associated cycles for discrete series representations of $$\mathrm{SU}(p,q)$$ (with an appendix by Peter E. Trapa). Zbl 1186.22017
Barchini, L.; Zierau, R.
2008
Square integrable harmonic forms and representation theory. Zbl 0940.22010
Barchini, L.; Zierau, R.
1998
Smooth components of Springer fibers. (Composantes des fibres de Springer.) Zbl 1248.14056
Graham, William; Zierau, R.
2011
Prehomogeneous vector spaces and ergodic theory. II. Zbl 0994.11040
Witte, Dave; Yukie, Akihiko; Zierau, Roger
2000
A note on the linear cycle space for groups of Hermitian type. Zbl 1017.22009
Wolf, Joseph A.; Zierau, Roger
2003
Cayley transforms and orbit structure in complex flag manifolds. Zbl 0887.22007
Wolf, J. A.; Zierau, R.
1997
Unitarity of certain Dolbeault cohomology representations. Zbl 0842.22012
Zierau, Roger
1993
Principal series representations and harmonic spinors. Zbl 1085.22011
Mehdi, S.; Zierau, R.
2006
Representations in Dolbeault cohomology. Zbl 0951.22007
Zierau, Roger
2000
Components of Springer fibers associated to closed orbits for the symmetric pairs $$(Sp(2n),GL(n))$$ and $$(O(n),O(p)\times O(q))$$. I. Zbl 1254.22007
Barchini, L.; Zierau, R.
2011
Riemannian exponential maps and decompositions of reductive Lie groups. Zbl 0856.22009
Wolf, Joseph A.; Zierau, Roger
1996
Harmonic spinors on semisimple symmetric spaces. Zbl 1018.22007
Mehdi, S.; Zierau, R.
2003
The automorphism groups of complex homogeneous spaces. Zbl 0876.22020
Dunne, Edward G.; Zierau, Roger
1997
A singular representation of $$E_ 6$$. Zbl 0840.22025
Binegar, B.; Zierau, R.
1994
Components of Springer fibers associated to closed orbits for the symmetric pairs $$(\mathrm{Sp}(2n), \mathrm{Sp}(2p)\times\mathrm{Sp}(2q))$$ and $$(\mathrm{SO}(2n), \mathrm{GL}(n))$$. I. Zbl 1301.22008
Barchini, L.; Zierau, R.
2013
The Dirac cohomology of a finite dimensional representation. Zbl 1376.22014
Mehdi, S.; Zierau, R.
2014
Geometric construction of certain highest weight modules. Zbl 0603.22004
Zierau, Roger
1985
Characteristic cycles of highest weight Harish-Chandra modules for $$\mathrm{Sp}(2n,\mathbb{R})$$. Zbl 1377.22012
Barchini, L.; Zierau, R.
2017
Dirac index and associated cycles of Harish-Chandra modules. Zbl 1433.22009
Mehdi, Salah; Pandžić, Pavle; Vogan, David A.; Zierau, Roger
2020
Computing the associated cycles of certain Harish-Chandra modules. Zbl 1422.22016
Mehdi, Salah; Pandžić, Pavle; Vogan, David; Zierau, Roger
2018
Domains of holomorphy and representations of $$SL(n,\mathbf R)$$. Zbl 0994.22009
Barchini, L.; Leslie, C.; Zierau, R.
2001
Holomorphic double fibration transforms. Zbl 0960.22014
Wolf, Joseph A.; Zierau, Roger
2000
The Penrose transform and analytic cohomology in representation theory. AMS-IMS-SIAM summer research conference, June 27 - July 3, 1992, South Hadley, MA, USA. Zbl 0780.00026
Eastwood, Michael (ed.); Wolf, Joseph (ed.); Zierau, Roger (ed.)
1993
Twistor theory for indefinite Kähler symmetric spaces. Zbl 0798.53066
Dunne, Edward G.; Zierau, Roger
1993
Certain components of Springer fibers: algorithms, examples and applications. Zbl 1184.22005
Barchini, L.; Zierau, R.
2009
A construction of harmonic forms on $$U(p+1,q)/U(p,q)\times U(1)$$. Zbl 0699.58003
Zierau, Roger
1989
Characteristic cycles of highest weight Harish-Chandra modules. Zbl 1405.22020
Zierau, R.
2018
Examples of leading term cycles of Harish-Chandra modules. Zbl 1354.22018
Barchini, L.; Zierau, Roger
2016
Dirac index and associated cycles of Harish-Chandra modules. Zbl 1433.22009
Mehdi, Salah; Pandžić, Pavle; Vogan, David A.; Zierau, Roger
2020
Computing the associated cycles of certain Harish-Chandra modules. Zbl 1422.22016
Mehdi, Salah; Pandžić, Pavle; Vogan, David; Zierau, Roger
2018
Characteristic cycles of highest weight Harish-Chandra modules. Zbl 1405.22020
Zierau, R.
2018
Characteristic cycles of highest weight Harish-Chandra modules for $$\mathrm{Sp}(2n,\mathbb{R})$$. Zbl 1377.22012
Barchini, L.; Zierau, R.
2017
Examples of leading term cycles of Harish-Chandra modules. Zbl 1354.22018
Barchini, L.; Zierau, Roger
2016
The Dirac cohomology of a finite dimensional representation. Zbl 1376.22014
Mehdi, S.; Zierau, R.
2014
Components of Springer fibers associated to closed orbits for the symmetric pairs $$(\mathrm{Sp}(2n), \mathrm{Sp}(2p)\times\mathrm{Sp}(2q))$$ and $$(\mathrm{SO}(2n), \mathrm{GL}(n))$$. I. Zbl 1301.22008
Barchini, L.; Zierau, R.
2013
Smooth components of Springer fibers. (Composantes des fibres de Springer.) Zbl 1248.14056
Graham, William; Zierau, R.
2011
Components of Springer fibers associated to closed orbits for the symmetric pairs $$(Sp(2n),GL(n))$$ and $$(O(n),O(p)\times O(q))$$. I. Zbl 1254.22007
Barchini, L.; Zierau, R.
2011
Conformally invariant systems of differential operators. Zbl 1163.22007
Barchini, L.; Kable, Anthony C.; Zierau, Roger
2009
Certain components of Springer fibers: algorithms, examples and applications. Zbl 1184.22005
Barchini, L.; Zierau, R.
2009
Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type. Zbl 1196.22011
Barchini, L.; Kable, Anthony C.; Zierau, Roger
2008
Certain components of Springer fibers and associated cycles for discrete series representations of $$\mathrm{SU}(p,q)$$ (with an appendix by Peter E. Trapa). Zbl 1186.22017
Barchini, L.; Zierau, R.
2008
Positivity of zeta distributions and small unitary representations. Zbl 1096.22008
Barchini, L.; Sepanski, M.; Zierau, R.
2006
Principal series representations and harmonic spinors. Zbl 1085.22011
Mehdi, S.; Zierau, R.
2006
A note on the linear cycle space for groups of Hermitian type. Zbl 1017.22009
Wolf, Joseph A.; Zierau, Roger
2003
Harmonic spinors on semisimple symmetric spaces. Zbl 1018.22007
Mehdi, S.; Zierau, R.
2003
Domains of holomorphy and representations of $$SL(n,\mathbf R)$$. Zbl 0994.22009
Barchini, L.; Leslie, C.; Zierau, R.
2001
Linear cycle spaces in flag domains. Zbl 0963.32015
Wolf, Joseph A.; Zierau, Roger
2000
Prehomogeneous vector spaces and ergodic theory. II. Zbl 0994.11040
Witte, Dave; Yukie, Akihiko; Zierau, Roger
2000
Representations in Dolbeault cohomology. Zbl 0951.22007
Zierau, Roger
2000
Holomorphic double fibration transforms. Zbl 0960.22014
Wolf, Joseph A.; Zierau, Roger
2000
Square integrable harmonic forms and representation theory. Zbl 0940.22010
Barchini, L.; Zierau, R.
1998
Cayley transforms and orbit structure in complex flag manifolds. Zbl 0887.22007
Wolf, J. A.; Zierau, R.
1997
The automorphism groups of complex homogeneous spaces. Zbl 0876.22020
Dunne, Edward G.; Zierau, Roger
1997
Riemannian exponential maps and decompositions of reductive Lie groups. Zbl 0856.22009
Wolf, Joseph A.; Zierau, Roger
1996
A singular representation of $$E_ 6$$. Zbl 0840.22025
Binegar, B.; Zierau, R.
1994
Unitarity of certain Dolbeault cohomology representations. Zbl 0842.22012
Zierau, Roger
1993
The Penrose transform and analytic cohomology in representation theory. AMS-IMS-SIAM summer research conference, June 27 - July 3, 1992, South Hadley, MA, USA. Zbl 0780.00026
Eastwood, Michael; Wolf, Joseph; Zierau, Roger
1993
Twistor theory for indefinite Kähler symmetric spaces. Zbl 0798.53066
Dunne, Edward G.; Zierau, Roger
1993
Intertwining operators into Dolbeault cohomology representations. Zbl 0761.22015
Barchini, L.; Knapp, A. W.; Zierau, R.
1992
Unitarization of a singular representation of $$\text{SO}(p,q)$$. Zbl 0748.22009
Binegar, B.; Zierau, R.
1991
A construction of harmonic forms on $$U(p+1,q)/U(p,q)\times U(1)$$. Zbl 0699.58003
Zierau, Roger
1989
Geometric construction of certain highest weight modules. Zbl 0603.22004
Zierau, Roger
1985
all top 5

#### Cited by 92 Authors

 16 Zierau, Roger 14 Barchini, Leticia 9 Kobayashi, Toshiyuki 8 Kable, Anthony C. 6 Mehdi, Salah 5 Kubo, Toshihisa 4 Günaydin, Murat 4 Ørsted, Bent 4 Pandžić, Pavle 3 Fernando, Sudarshan 3 Frahm, Jan 3 Huang, Jing-Song 3 Huckleberry, Alan Trinler 3 Knapp, Anthony William 3 Mano, Gen 3 Matsuki, Toshihiko 3 Wolf, Joseph Albert 3 Yukie, Akihiko 2 Barbasch, Dan M. 2 Donley, Robert W. jun. 2 Graham, William A. 2 Isaev, Alexander 2 Precup, Martha E. 2 Prudhon, Nicolas 2 Rubin, Boris 2 Schwarz, Benjamin 2 Somberg, Petr 2 Xiao, Wei 1 Afgoustidis, Alexandre 1 Alldridge, Alexander 1 Altomani, Andrea 1 Bai, Zhanqiang 1 Bailey, Toby N. 1 Bates, Larry M. 1 Berman, Robert J. 1 Bhamidi, Shankar 1 Burns, Daniel M. jun. 1 Chuah, Meng-Kiat 1 Clerc, Jean-Louis 1 Dong, Chao-Ping 1 Dunne, Edward George 1 Einsiedler, Manfred Leopold 1 Fischer, Véronique 1 Fresse, Lucas 1 Frønsdal, Christian 1 Geatti, Laura 1 Govil, Karan 1 Green, Mark Lee 1 Griffiths, Phillip Augustus 1 Halverscheid, Stefan 1 Hannabuss, Keith C. 1 Harris, Benjamin 1 He, Haian 1 Hilgert, Joachim 1 Hind, Richard K. 1 Hong, Jaehyun 1 Ignatyev, Mikhail V. 1 Joung, Euihun 1 Kerr, Matthew 1 Křižka, Libor 1 Levasseur, Thierry 1 Mantini, Lisa A. 1 Margulis, Grigoriĭ Aleksandrovich 1 Medori, Costantino 1 Melnikov, Anna 1 Michel, Jean-Philippe 1 Mkrtchyan, Karapet 1 Moriwaki, Masayasu 1 Nikolaevskiĭ, Yuriĭ A. 1 Novak, Jodie D. 1 Oshima, Yoshiki 1 Ournycheva, Elena 1 Parthasarathy, Rajagopalan 1 Penkov, Ivan B. 1 Richmond, Edward 1 Sakas-Obeid, Sammar 1 Salmasian, Hadi 1 Samples, Brandon 1 Savin, Gordan 1 Sjöstrand, Johannes 1 Stafford, J. Toby 1 Tamori, Hiroyoshi 1 Tanner, Elizabeth A. 1 Tymoczko, Julianna S. 1 van der Hofstad, Remco W. 1 van Leeuwaarden, Johan S. H. 1 Venkatesh, Akshay 1 Vogan, David Alexander jun. 1 Wilson, Raj 1 Wong, Kayue Daniel 1 Zhang, Genkai 1 Zhu, Chen-Bo
all top 5

#### Cited in 50 Serials

 9 Journal of Functional Analysis 7 Advances in Mathematics 7 Transactions of the American Mathematical Society 6 Journal of Algebra 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 International Journal of Mathematics 4 Representation Theory 3 Annales de l’Institut Fourier 3 Journal of Pure and Applied Algebra 3 Transformation Groups 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Journal of Number Theory 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tohoku Mathematical Journal. Second Series 2 Journal of Lie Theory 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Kyoto Journal of Mathematics 1 Communications in Algebra 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 The Annals of Probability 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Forum Mathematicum 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Journal of Fourier Analysis and Applications 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 São Paulo Journal of Mathematical Sciences 1 Transactions of the American Mathematical Society. Series B
all top 5

#### Cited in 28 Fields

 85 Topological groups, Lie groups (22-XX) 28 Nonassociative rings and algebras (17-XX) 19 Several complex variables and analytic spaces (32-XX) 18 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 11 Group theory and generalizations (20-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 4 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX)