L. Barchini

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All published works

Action	Title	Year	Authors
+	A Note on the Orbits of a Symmetric Subgroup in the Flag Variety	2024	L. Barchini Peter E. Trapa
+ PDF Chat	Relating Real and P-adic Kazhdan-Lusztig Polynomials	2024	L. Barchini Peter E. Trapa
+	Characteristic cycles of highest weight Harish-Chandra modules and the Weyl group action on the conormal variety	2019	L. Barchini
+	Reducible characteristic cycles of Harish-Chandra modules for U(p,q) and the Kashiwara–Saito singularity	2019	L. Barchini Petr Somberg Peter E. Trapa
+	Reducible characteristic cycles of Harish-Chandra modules for $\mathrm{U}(p,q)$ and the Kashiwara-Saito singularity	2018	L. Barchini Petr Somberg Peter E. Trapa
+	Reducible characteristic cycles of Harish-Chandra modules for $\mathrm{U}(p,q)$ and the Kashiwara-Saito singularity	2018	L. Barchini Petr Somberg Peter E. Trapa
+ PDF Chat	CHARACTERISTIC CYCLES OF HIGHEST WEIGHT HARISH-CHANDRA MODULES FOR Sp(2n,R)	2017	L. Barchini Roger Zierau
+ PDF Chat	Equivalence classes of GL(p, ℂ) ×GL(q, ℂ) orbits in the flag variety of 𝔤𝔩(p + q, ℂ)	2017	L. Barchini Nina Williams
+	Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R)	2015	L. Barchini Roger Zierau
+	Two Triangularity Results and Invariants of sp((p + q), C), Sp(p, C) x Sp(q, C)) and (so(2n, C), GL(n, C)) Modules	2015	L. Barchini
+	Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R)	2015	L. Barchini Roger Zierau
+	Components of Springer fibers associated to closed orbits for the symmetric pairs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi mathvariant="italic">Sp</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mrow><mml:mi mathvariant="italic">Sp</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2…	2014	L. Barchini Roger Zierau
+	Examples of leading term cycles of Harish-Chandra modules	2014	L. Barchini Roger Zierau
+	On the unitary globalization of cohomologically induced modules	2013	L. Barchini Petr Somberg
+	Components of Springer fibers associated to closed orbits for the symmetric pairs and I	2013	L. Barchini Roger Zierau
+	Indefinite Harmonic Theory and Harmonic Spinors	2013	L. Barchini Roger Zierau
+	Components of Springer fibers associated to closed orbits for the symmetric pairs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:…	2011	L. Barchini William Graham Roger Zierau
+	Components of Springer fibers associated to closed orbits for the symmetric pairs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:…	2011	L. Barchini William Graham Roger Zierau
+ PDF Chat	Conformally invariant systems of differential operators	2009	L. Barchini Anthony C. Kable Roger Zierau
+ PDF Chat	Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)	2008	L. Barchini Roger Zierau
+ PDF Chat	Conformally Invariant Systems of Diﬀerential Equations and Prehomogeneous Vector Spaces of Heisenberg Parabolic Type	2008	L. Barchini Anthony C. Kable Roger Zierau
+	Zeta distributions and boundary values of Poisson transforms	2004	L. Barchini
+	Zeta distributions and boundary values of Poisson transforms	2004	L. Barchini
+	Remarks on the characteristic cycle of discrete series of SU(p, q)	2004	L. Barchini
+	Stein extensions of real symmetric spaces and the geometry of the flag manifold	2003	L. Barchini
+	Hypergeometric Functions Associated to Cones of Convex Type in a Euclidean Jordan Algebra	2002	L. Barchini Salem Ben Saïd
+	Finite-reductive dual pairs in G2	2002	L. Barchini Mark R. Sepanski
+	Domains of holomorphy and representations¶of SL ( n ,R)	2001	L. Barchini C. Leslie Roger Zierau
+	Strongly Harmonic Forms for Representations in the Discrete Series	1999	L. Barchini
+ PDF Chat	Square integrable harmonic forms and representation theory	1998	L. Barchini Roger Zierau
+ PDF Chat	The geometry of flag manifold and holomorphic extension of Szegö kernels for SU(p,q)	1997	L. Barchini Simon Gindikin Hon-Wai Wong
+ PDF Chat	Boundary value maps, Szegö maps and intertwining operators	1997	L. Barchini
+	An Integral Operator into Dolbeault Cohomology	1996	L. Barchini Michael G. Eastwood A. Rod Gover
+	Szegö Kernels Associated with Zuckerman Modules	1995	L. Barchini
+	Szegö Mappings, Harmonic Forms, and Dolbeault Cohomology	1993	L. Barchini
+	Intertwining operators into Dolbeault cohomology representations	1992	L. Barchini Anthony W. Knapp Roger Zierau
+	Periodic zeta functions for rank 1 space forms of symmetric spaces	1992	L. Barchini Floyd L. Williams

Common Coauthors

Coauthor	Papers Together
Roger Zierau	15
Peter E. Trapa	5
Petr Somberg	4
Anthony C. Kable	2
William Graham	2
C. Leslie	1
Hon-Wai Wong	1
Salem Ben Saïd	1
Floyd L. Williams	1
Anthony W. Knapp	1
Nina Williams	1
A. Rod Gover	1
Michael G. Eastwood	1
Simon Gindikin	1
Mark R. Sepanski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Leading-term cycles of Harish-Chandra modules and partial orders on components of the Springer fiber	2007	Peter E. Trapa	7
+	Representation Theory of Semisimple Groups: An Overview Based on Examples	1986	Anthony W. Knapp	7
+ PDF Chat	Characteristic Cycles and Wave Front Cycles of Representations of Reductive Lie Groups	2000	Wilfried Schmid Kari Vilonen	6
+	Asymptotics and characteristic cycles for representations of complex groups	1993	Jen-Tseh Chang	6
+	Cohomological Induction and Unitary Representations	1995	Anthony W. Knapp David A. Vogan	6
+	Orbits in the flag variety and images of the moment map for classical groups I	1997	Atsuko Yamamoto	6
+	Cells of Harish-Chandra modules for real classical groups	1998	William M. McGovern	6
+ PDF Chat	On the characteristic polynomials of orbital varieties	1989	Anthony Joseph	5
+	A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra	1979	David A. Vogan	5
+	Szegö Mappings, Harmonic Forms, and Dolbeault Cohomology	1993	L. Barchini	5
+	Intertwining operators into Dolbeault cohomology representations	1992	L. Barchini Anthony W. Knapp Roger Zierau	5
+	Unitary representations with non-zero cohomology	1984	David A. Vogan Gregg J. Zuckerman	5
+ PDF Chat	HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS	1968	Wilfried Schmid	5
+	Homogeneous complex manifolds and representations of semisimple Lie groups	1989	Wilfried Schmid	5
+	Nilpotent Orbits in Semisimple Lie Algebras	2017	David H. Collingwood William M. McGovern	5
+	Symplectic and orthogonal Robinson–Schensted algorithms	2005	Peter E. Trapa	5
+	Richardson orbits for real classical groups	2005	Peter E. Trapa	5
+	Representations of Real Reductive Lie Groups	1981	David A. Vogan	5
+	Singular unitary representations and indefinite harmonic theory	1983	John Rawnsley Wilfried Schmid Joseph A. Wolf	4
+	Szeg� kernels associated with discrete series	1976	Anthony W. Knapp Nolan R. Wallach	4
+	Weyl Group Representations and Nilpotent Orbits	1983	Dan Barbasch David A. Vogan	4
+	A construction of representations of Weyl groups	1978	T. A. Springer	4
+	Cohomological Induction and Unitary Representations (PMS-45)	1995	Anthony W. Knapp David A. Vogan	4
+	Poincare Series and Automorphic Cohomology on Flag Domains	1977	Raymond O. Wells Joseph A. Wolf	4
+	L 2 -Cohomology and the Discrete Series	1976	Wilfried Schmid	4
+ PDF Chat	Certain components of Springer fibers and associated cycles for discrete series representations of 𝑆𝑈(𝑝,𝑞)	2008	L. Barchini Roger Zierau	4
+	Associated Varieties and Unipotent Representations	1991	David A. Vogan	4
+	Singular unitary representations and indefinite harmonic theory	2008	Wilfried Schmid	4
+	Irreducible characters of semisimple lie groups III. Proof of Kazhdan-Lusztig conjecture in the integral case	1983	David A. Vogan	4
+	Dolbeault Cohomological Realization of Zuckerman Modules Associated with Finite Rank Representations	1995	Hon-Wai Wong	4
+ PDF Chat	Holonomic Systems on a Flag Variety Associated to Harish–Chandra Modules and Representations of a Weyl Group	2018	Toshiyuki Tanisaki	3
+	Representation Theory of Semisimple Groups	1986	Anthony W. Knapp	3
+	None	1999	Peter E. Trapa	3
+	Conjugacy Classes in Semisimple Algebraic Groups	2011	James E. Humphreys	3
+	Primitive ideals and orbital integrals in complex classical groups	1982	Dan Barbasch David A. Vogan	3
+	Differential operators on homogeneous spaces. III	1985	Walter Borho Jean-Luc Brylinski	3
+	The characteristic cycles of holonomic systems on a flag manifold	1984	Masaki Kashiwara Toshiyuki Tanisaki	3
+	Unitarizability of Certain Series of Representations	1984	David A. Vogan	3
+	Irreducible characters of semisimple Lie groups IV. Character-multiplicity duality	1982	David A. Vogan	3
+	Components of Springer fibers associated to closed orbits for the symmetric pairs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:…	2011	L. Barchini William Graham Roger Zierau	3
+ PDF Chat	Characteristic cycles of holomorphic discrete series	1992	Jen-Tseh Chang	3
+ PDF Chat	Correction and addition to Szeg� kernels associated with discrete series	1980	Anthony W. Knapp Nolan R. Wallach	3
+ PDF Chat	Differential operators on homogeneous spaces	1959	Sigurđur Helgason	3
+	Regular Orbits of Symmetric Subgroups on Partial Flag Varieties	2011	Dan Ciubotaru Kyo Nishiyama Peter E. Trapa	3
+	On the classification of irreducible representations of real algebraic groups	1989	R. P. Langlands	3
+	Invariant eigendistributions on a semisimple Lie algebra and homology classes on the conormal variety. II. Representations of Weyl groups	1991	Wulf Rossmann	3
+	Characters of reductive groups over a finite field	1984	G. Lusztig	3
+	Goldie rank in the enveloping algebra of a semisimple Lie algebra, I	1980	Anjali Joseph	3
+	A triangularity result for associated varieties of highest weight modules	2000	William M. McGovern	3
+	The Annihilators of Irreducible Harish-Chandra Modules for SU(p,q) and Other Type A n-1 Groups	1993	Devra Garfinkle	3