Transcending classical invariant theory
Journal of the American Mathematical Society, Tome 02 (1989) no. 3, pp. 535-552

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Howe, Roger. Transcending classical invariant theory. Journal of the American Mathematical Society, Tome 02 (1989) no. 3, pp. 535-552. doi: 10.1090/S0894-0347-1989-0985172-6

[1] Cartier, Pierre Quantum mechanical commutation relations and theta functions 1966 361 383

[2] Dixmier, Jacques Algèbres enveloppantes 1974

[3] Flath, D. Decomposition of representations into tensor products 1979 179 183

[4] Gelbart, Stephen Holomorphic discrete series for the real symplectic group Invent. Math. 1973 49 58

[5] Gross, Kenneth I., Kunze, Ray A. Bessel functions and representation theory. II. Holomorphic discrete series and metaplectic representations J. Functional Analysis 1977 1 49

[6] Helgason, Sigurä‘Ur Differential geometry and symmetric spaces 1962

[7] Howe, Roger Remarks on classical invariant theory Trans. Amer. Math. Soc. 1989 539 570

[8] Howe, R. 𝜃-series and invariant theory 1979 275 285

[9] Howe, Roger Quantum mechanics and partial differential equations J. Functional Analysis 1980 188 254

[10] Kadison, Richard V. Remarks on the type of von Neumann algebras of local observables in quantum field theory J. Mathematical Phys. 1963 1511 1516

[11] Kashiwara, M., Vergne, M. On the Segal-Shale-Weil representations and harmonic polynomials Invent. Math. 1978 1 47

[12] Må“Glin, Colette, Vignã©Ras, Marie-France, Waldspurger, Jean-Loup Correspondances de Howe sur un corps 𝑝-adique 1987

[13] Rallis, S. On the Howe duality conjecture Compositio Math. 1984 333 399

[14] Saito, Masahiko Représentations unitaires des groupes symplectiques J. Math. Soc. Japan 1972 232 251

[15] Segal, I. E. The complex-wave representation of the free boson field 1978 321 343

[16] Shale, David Linear symmetries of free boson fields Trans. Amer. Math. Soc. 1962 149 167

[17] Vogan, David A., Jr. The algebraic structure of the representation of semisimple Lie groups. I Ann. of Math. (2) 1979 1 60

[18] Weil, Andr㩠Sur certains groupes d’opérateurs unitaires Acta Math. 1964 143 211

[19] Weyl, Hermann The classical groups 1997

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