References
- Societe France, Asterique v.171-172 Unipotent Automorphic Representation,: Conjectures Arthur, J.
- Symplectic geometry, Encyclopaedia of Mathematical Sciences, Dynamical systems IV, 4 Arnold, V.I.;Givental, A.B.
- Invent. Math. v.14 Polarization and unitary representations of solvable Lie groups Auslander, L.;Kostant, B.
- Ann. of Math. v.48 Irreducible unitary representations of the Lorentz group Bargmann, V.
- Representations des groupes de Lie resolubles Bernat, P.;Conze, N.;Duflo, M.(et al.)
- Math. Z. v.191 Die Jacobigruppe und die Wiirmeleitungsgleichung Berndt, R.
- IHES/M Some remarks on automorphic forms for the Jacobi group Berndt, R.
-
Abh. Math. Sem. Univ. Hamburg.
v.60
The Continuous Part of
$L^2({\Gamma}^J\G^J)$ for the Jacobi Group Berndt, R. - Jb. d. Dt. Math.-Verein. v.97 On Automorphic Forms for the Jacobi Group Berndt, R.
- Math. Z. v.204 Jacobi Forms and Discrete Series Representations of the Jacobi Group Berndt, R.;Bocherer, S.
- Birkhauser v.163 Elements of the Representation Theory of the Jarobi Group Berndt, R.;Schmidt, R.
- Proc. Symposia in Pure Math. v.XXXIII Automorphic forms and automorphic representations Borel, A.;Jacquet, H.
- Proc. Nat. Acad. Sci. U.S.A. v.91 no.7 Minimal representations of E6, and E8 and the generalized Capelli identity Brylinski, R.;Kostant, B.
- Proc. Nat. Acad. Sci. U.S.A. v.91 no.13 Minimal representations, geometric quantization, and unitarity Brylinski, R.;Kostant, B.
- Ann. Sci. Ecole Sup. Dual topology of a nilpotent Lie group MathbbRown, I.D.
- Automorphic Forms and Representations Bump, D.
- Funct. Anal. and Appl. v.7 no.2 Representations of exponential Lie groups Busyatskaya, I.K.
- Proc. Natl. Acad. Sci. USA v.91 Minimal representations geometric quantization and unitarity Brylinski, R.K.;Kostant, B.
- Canad. J. Math. v.10 Sur les representation unitaires des groupes de Lie nilpotents, III Dixmier, J.
- Enveioping algebras Dixmier, J.
- Funet. Anal. and Appl. v.27 Harmonic analysis and the global exponential map for compact Lie groups Dooley, A.H.;Wildberger, N.J.
- Funct. Anal. and Appl. v.4 Fundamental-series representations of a semisimple Lie group Duflo, M.
- Ann. Sci. Ecole Norm. Sup. v.IV no.10 Operateurs dijJerentiels bi-invariants sur un groupe de Lie Duflo, M.
- Bull. Soc. Math. Fr. v.107 Representations unitaires irreducibles des groupes semi-simples complexes de rong deux Duflo, M.
- Acta Math. v.149 Theorie de Mackey pour les groupes de Lie algebriques Duflo, M.
- Progress In Math. v.55 The Theory of Jaoobi Forms Eichler, M.;Zagier, D.
- A Classification of Unitary Highest weight Modules;Representation Theory of Reductive Groups Enright, T.;Howe, R.;Wallach, N.
- Degeneration of Abelian Varieties, EMG, Band, 22 Faltings, G.;Chai, C.L.
- Canad. J. Math. v.14 Weak containment and induced representations of groups Fell, J.M.G.
- Funct. Anal. and Appl. v.15 The method of orbits in the representation theory of complex Lie groups Ginzburg, V.A.
- Adv. in Math. v.61 g-modules, Springer's representations and bivariant Chern classes Ginzburg, V.A.
- A distinguished family of unitary representations for the exceptional groups of real rank=4;Lie theory and geometry Gross, B.;Wallach, N.;Kostant, B.
- Invent. Math. v.67 Quantization and multiplicities of group representations Guillemin, V.;Sternberg, S.
- Symplectic techniques in physics Guillemin, V.;Sternberg, S.
- Acta Math. v.116 Discrete series for semisimple Lie groups II Harish-Chandra
- Invent. Math. v.67 Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups Heckman, G.J.
- American Jour. Math. v.93 On Frobenius reciprocity for unipotent algebraic groups over Q Howe, R.
-
Proc. Symp. Pure Math.
v.33
${\theta}$ series and invariant theory , Automorphic forms, representations, and L-functions Howe, R. - Reciprocity laws in the theory of dual pairs, Representation Theory of Reductive Groups, Progress in Math., 40 Howe, R.;Trombi, P.(ed.)
- Journal American Math. Soc. v.2 Transcending Classical Invariant Theory Howe, R.
- Amer. Jour. Math. v.121 Unipotent repre.t;cntations attached to spherical nilpotent orbits Huang, J.S.;Li, J.S.
- Duke Math. J. v.82 New dual pair correspondences Huang, J.S.;Pandzic, P.;Savin, G.
- Ann. Scient. Ec. Norm. Sup. v.4 The minimal orbit in a simple simple Lie algemathbbRa and its associated matrix ideal Joseph, A.
- Invent. Math. v.44 On the Segal-Shale- Weil representations and harmonic polynomials Kashiwara, M.;Vergne, M.
- Invent. Math. v.47 The Campbell-Hausdorff formula and invariant hyperfunctions Kashiwara, M.;Vergne, M.
- Israel Math. Conf. Proceedings v.2 The smallest representation of simply laced groups Kazhdan, D.;Savin, G.
- Russian Math. Surveys v.17 Unitary representations of nilpotent Lie groups Kirillov, A.A.
- Elements of the theory of representations Kirillov, A.A.
- Introduction to the theory of representations and noncommutative harmonic analysis, Encyclopaedia of Mathematical Sciences, Representation theory and noncommutative harmonic analysis I, 22 Kirillov, A.A.
- Progress in Math. v.145 Introduction to the orbit method. I, II. Kirillov, A.A.;Adams, J.(ed.);Kleppner, A.(ed.);Li, J.S.(ed.);Lipsman, R.(ed.);Rosenberg, J.(ed.)
- Geometric quantization, Encyclopaedia of Mathematical Sciences, Dynamical systems, 4 Kirillov, A.A.
- AMS Translations, AMS v.169 Variations on the triangular theme Kirillov, A.A.
- Funct. Anal. and Appl. v.2 no.2 The characters of unitary representations of Lie groups Kirillov, A.A.
- Comm. Pures Appl. Math. v.77 Geometric approach to Discrete Series of Unirreps for Vir Kirillov, A.A.
- Bull. AMS v.36 no.4 Merits and Demerits of the Orbit Method Kirillov, A.A.
- Representation Theory of Semisimple Groups Knapp, A.W.
- Lecture Notes in Math. v.170 Quantization and unitary representations Kostant, B.
- Lecture Notes in Math. v.570 Graded manifolds, graded Lie theory and prequantizaticrn Kostant, B.
- Proceedings of the Summer School of the Bolyai Janos Math. Soc. On the existence and irreducibility of certain series of representations, Lie groups and their representations Kostant, B.;Gelfand, I.M.(ed.)
- Adv. in Math. v.34 The solution to a generalized Toda lattice and representation theory Kostant, B.
- J. reine angew. Math. v.458 An arithmetic theory of Jacobi forms in higher dimensions Kramer, J.
-
$SL_2$ (R) Lang, S. - Unitary representation theory of exponential Lie groups Leptin, H.;Ludwig, J.
- Duke Math. J. v.97 The correspondence of infinitesimal characters for reductive dual pairs in simple Lie groups Li, J.S.
- Math. Series, AMS and IAS v.8 Minimal Representations and Reductive Dual Pairs in Representation Theory of Lie Groups, IAS/PARK CITY Li, J.S.
-
Dual pairs correspondences of
$E_{8,4}$ and$E_{7,4}$ Loke, H.Y. - Ann. of Math. v.55 Induced Representations of Locally Compact Groups I Mackey, G.W.
- Ann. of Math. v.82 Decomposition of unitary representations defined by a discrete subgroup of nilpotent groups Moore, C.C.
- Lect. Notes in Math. v.812 Toroidal Compactification of Siegel Spaces Namikawa, Y.
- Trans. Amer. Math. Soc. v.126 On the theory of exponential groups Pukaoszky, L.
- Ann. Sci. Ec. Norm. Sup. v.IV Unitary representations of solvable Lie groups Pukanszky, L.
- Invent. Math. v.48 Kirillov's character formula for reductive Lie groups Rossmann, W.
- Acta Math. v.175 Theta functions and Siegel-Jacobi junctions Runge, B.
- Ann. Math. Studies v.66 Fock Representations and Theta Functions Satake, I.
-
Math. Ann.
v.190
Unitary representations of a semi-direct products of Lie groups on
${\vartheta}$ -cohomology spaces Satake, I. - Asian J. Math. v.3 no.1 On the geometry of nilpotent orbits Schmid, W.;Vilonen, K.
- Ann. of Math.(2) v.3 no.3 Characteristic cycles and wave front cycles of representations of reductive Lie groups Schmid, W.;Vilonen, K.
- The determination of the admissible orbits in the real classical groups Schwartz, J.
- Jour. Math. Soc. Japan v.39 Remarks on nilpotent orbits of a symmetric pair Sekiguchi, J.
- Funct. Anal. and Appl. v.11 On representations of solvable Lie groups Shchepochkina, I.M.
- C.R. de I'Acad. bulgare des Sci. v.33 Orbit method for the restriction-induction problems for normal subgroup of a solvable Lie group Shchepochkina, I.M.
- J. reine angew. Math. v.409 A note on automorphic forms Takase, K.
- J. reine angew. Math. v.430 On unitary representations of Jacobi groups Takase, K.
- J. reine angew. Math. v.441 Correction to the paper 'On unitary representations of Jacobi groups' Takase, K.
-
Acta Math.
v.150
Quantification geometrique, operuteurs d'entrelacement et representations unitaires de
$SL_3{\mathbb{R}$ Torasso, P. - Duke Math. J. v.90 Method des orbites de Kirillov-Dufio et representations minimales des groupes simples sur un corps local de camcteristique nulle Torasso, P.
- C.R. Acad. Sci. Paris v.320 Instantons et correspondence de Kostant-Sekiguchi Vergne, M.
- Invent. Math. v.48 Gelfand-Kirillov dimension for Harish-Chandra modules Vogan, D.
- Lecture Notes v.880 Singular unitary representations, Non-commutative Harmonic Analysis and Lie Groups Vogan, D.
- Progr. Math. v.101 Associated Varieties and Unipotent Representations, Harmonic Analysis on Reductive Groups Vogan, D.
- Unitary representations of reductive Lie groups Vogan, D.
-
Invent, Math.
v.116
The unitary dual of
$G_2$ Vogan, D. - Math, Series, AMS and IAS v.8 The Methods of Coadjoint Orbits for Real Reduelive Groups in Representation Theory of Lie Groups, IAS/PARK ClTY Vogan, D.
-
Israel Math. Conf. Proc.
v.2
Demonstration d'une conjecture de dualite de Howe dans le cas p-adique, p
$\{neq}$ 2, Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixties birthday Waldspurger, J.L. - Harmonic Analysis on Semisimple Lie Groups, I, II Warner, G.
- Canad. Math. Bull. v.33 no.3 On a relationship between adjoint orbits and conjugacy classes of a Lie group Wildberger, N.J.
- Repreentation Theory of Lie Groups (Korean) Yang, J.H.
- Pyungsan Institute for Math. Sci., PIMS v.99 no.5 Theta Functions and Heisenberg groups Yang, J.H.
- Nagoya Math. J. v.123 Harmonic Analysis on the Quotient Spaces of Heisenberg Groups Yang, J.H.
- J. Number Theory v.49 Harmonic Analysis on the Quotient Spaces of Heisenberg Groups, II Yang, J.H.
- Japanese J. Math., Math. Soe. Japan, New Series v.22 A decomposition theorem on differential polynomials of theta functions of high level Yang, J.H.
-
Math. Ann.
v.317
Lattice representations of
${H_R}^{(g,h)}$ Yang, J.H. - Abh. Math. Sem. Univ. Hamburg v.63 The Siegel-Jacobi Operator Yang, J.H.
- Proc. of the 1993 Workshop on Automorphic Forms aud Related Topics Remarks on Jacobi farms of higher degree Yang, J.H.
- Trans. Amer. Math. Soc. v.347 Singular Jacobi Forms Yang, J.H.
- Canadian J. Math. v.47 Construction of Vector-Valued Modular Forms from Jacobi Forms Yang, J.H.
- Kyungpook Math. J. v.40 A geometrical theory o/Jacobi forms of higher degree Yang, J.H.
- Proc. of Japan-Korea Joint Seminar Unitary representations of Heisenberg groups Yang, J.H.;Son, J.W.
- Lecture Notes in Math v.869 Representations of finite classical groups Zelevinsky, A.V.
- Abh. Math. Sem. Univ. Hamburg v.59 Jacobi Forms of Higher Degree Ziegler, C.