Representations of Lie Groups and the Orbit Method

It was a great honor and pleasure to be invited by the Association for Women Mathematicians, to give an address for Emmy Noether’s 100th birthday.

[1]  M. Vergne A Poisson-Plancherel formula for semi-simple Lie groups , 1982 .

[2]  Fourier Inversion and the Plancherel Theorem for Semisimple Real Lie Groups , 1982 .

[3]  George W. Mackey,et al.  Unitary representations of group extensions. I , 1958 .

[4]  S. Lang SL[2](R) , 1985 .

[5]  D. Vogan Singular unitary representations , 1981 .

[6]  W. Schmid On a Conjecture of Langlands , 1971 .

[7]  D. Barbasch,et al.  The unitary spectrum for real rank one groups , 1983 .

[8]  D. Shelstad Embeddings of L-Groups , 1981, Canadian Journal of Mathematics.

[9]  C. Mœglin,et al.  Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante , 1981 .

[10]  J. Neumann Die Eindeutigkeit der Schrödingerschen Operatoren , 1931 .

[11]  R. Herb,et al.  Fourier inversion and the plancherel theorem , 1981 .

[12]  La formule de plancherel pour un groupe de Lie resoluble connexe. II , 1980 .

[13]  Harish-Chandra Discrete series for semisimple Lie groups I , 1965 .

[14]  M. Atiyah,et al.  The Index of elliptic operators. 3. , 1968 .

[15]  H. Weyl,et al.  Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. I , 1926 .

[16]  B. Speh The unitary dual of Gl (3, ℝ) and Gl (4, ℝ) , 1981 .

[17]  V. Varadarajan Harmonic analysis on real reductive groups , 1977 .

[18]  D. Shelstad Orbital integrals and a family of groups attached to a real reductive group , 1979 .

[19]  R. Herb Characters of averaged discrete series on semisimple real Lie groups , 1979 .

[20]  V. Bargmann,et al.  Irreducible unitary representations of the Lorentz group , 1947 .

[21]  M. Atiyah,et al.  A Lefschetz Fixed Point Formula for Elliptic Complexes: I , 1967 .

[22]  A. W. Knapp,et al.  Irreducible unitary representations of SU(2, 2) , 1982 .

[23]  A. Connes,et al.  The L2-index theorem for homogeneous spaces of Lie groups , 1982 .

[24]  A. Kirillov Elements of the theory of representations , 1976 .

[25]  C. Mœglin Idéaux bilatères des algèbres enveloppantes , 1980 .

[26]  R. Bott Vector fields and characteristic numbers. , 1967 .

[27]  Louis Auslander,et al.  Polarization and unitary representations of solvable Lie groups , 1971 .

[28]  M. Duflo Représentations unitaires irréductibles des groupes simples complexes de rang deux , 1979 .

[29]  R. Penney Lie cohomology of representations of nilpotent Lie groups and holomorphically induced representations , 1980 .

[30]  D. Shelstad L-Indistinguishability for real groups , 1982 .

[31]  A. Kirillov The characters of unitary representations of Lie groups , 1968 .

[32]  Shlomo Sternberg,et al.  Geometric Asymptotics, Revised edition , 1977 .

[33]  W. Schmid On the characters of the discrete series , 1975 .

[34]  M. Atiyah,et al.  A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications , 1968 .

[35]  J. Dixmier Les C*-algèbres et leurs représentations .. , 1964 .

[36]  L. Pukanszky,et al.  Unitary representations of solvable Lie groups , 1971 .

[37]  Harish-Chandra Harmonic Analysis on Real Reductive Groups III. The Maass-Selberg Relations and the Plancherel Formula , 1976 .

[38]  M. Khalgui Caract?res des groupes de Lie , 1982 .

[39]  R. Lipsman Characters of lie groups II: Real polarizations and the orbital-integral character formula , 1977 .

[40]  P. Bernat Représentations des groupes de Lie résolubles , 1972 .

[41]  A. Kirillov,et al.  UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS , 1962 .

[42]  Harish-Chandra Plancherel Formula for the 2 x 2 Real Unimodular Group. , 1952, Proceedings of the National Academy of Sciences of the United States of America.

[43]  J. Rosenberg Realization of square-integrable representations of unimodular Lie groups on ²-cohomology spaces , 1980 .

[44]  J. Duistermaat,et al.  On the variation in the cohomology of the symplectic form of the reduced phase space , 1982 .

[45]  W. Rossmann Kirillov's character formula for reductive Lie groups , 1978 .

[46]  M. W. B. Silva The unitary dual of $\mathrm{Sp} (n,1), n \geq 2$ , 1981 .