Annales Mathématiques
Blaise Pascal
no. 2
Algebraic Weyl system and application
Annales mathématiques Blaise Pascal, Tome 4 (1997) no. 2, pp. 27-40. 
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     title = {Algebraic {Weyl} system and application},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {27--40},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {4},
     number = {2},
     year = {1997},
     zbl = {0947.46056},
     mrnumber = {1600061},
     language = {en},
     url = {https://ambp.centre-mersenne.org/item/AMBP_1997__4_2_27_0/}
}
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Youngho Jang. Algebraic Weyl system and application. Annales mathématiques Blaise Pascal, Tome 4 (1997) no. 2, pp. 27-40. https://ambp.centre-mersenne.org/item/AMBP_1997__4_2_27_0/

[BZ 76] I.N. Bernshtein and A.V. Zelevinskii, Representations of the group GL(n, F) where F is a non-Archimedean local field, Uspekhi Mat. Nauk. 31:3 (1976), 5-79. | MR | Zbl

[Car 64] P. Cartier, Uber einige Integralformen in der Theorie der quadratischen Formen, Math. Z. 84 (1964), 93-100. | MR | Zbl

[Car 66] P. Cartier, Quantum mechanical commutation relations and Theta-functions, Proc. Sympos. Pure Math. 9 (1966), 361-383. | MR | Zbl

[FO 88] Peter G.O. Freund and M. Olson, p-adic dynamical systems, Nucl. Phys. B 297 (1988), 86-102. | MR

[LV 80] G. Lion and M. Vergne, The Weil representation, Maslov index and theta-series, Boston: Birkhäuser, 1980. | MR | Zbl

[Meu 91] Y. Meurice, A Discretization of p-adic Quantum Mechanics, Commun. Math. Phys. 135 (1991), 303-312. | MR | Zbl

[Per 81] P. Perrin, Représentations de Schrödinger, indices de Maslov et groupe métaplectique, Lecture Notes in Math. 880, Springer-Verlag, Berlin-Heidelberg-New York, pp. 370-407, 1981. | MR | Zbl

[RTVW 89] P. Ruelle, E. Thiran, D. Verstegen and J. Weyers, Quantum mechanics on p-adic fields, J. Math. Phys. 30 (1989), 2854-2859. | MR | Zbl

[VV 84] V.S. Vladimirov and I.V. Volovich, Superanalysis, Differential calculus, Theoret. and Math. Phys. 59 (1984), 3-27. | MR | Zbl

[VV 89] V.S. Vladimirov and I.V. Volovich, p-adic Quantum Mechanics, Comm. Math. Phys. 123 (1989), 659-676. | MR | Zbl

[VVZ 94] V.S. Vladimirov, I.V. Volovich and E.I. Zelenov, p-adic Analysis and Mathematical Physics, World Scientific Publishing Co. Pte. Ltd., 1994. | MR | Zbl

[Wei 64] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), 143-211. | MR | Zbl

[Zel 89] E.I. Zelenov, p-adic Quantum Mechanics for p = 2, Theoret. and Math. Phys. 80 (1989), 253-263. | MR | Zbl

[Zel 91] E.I. Zelenov, p-adic Quantum mechanics and coherent states, Theoret. and Math. Phys. 86 (1991), 210-220. | MR | Zbl

[Zel 92] E.I. Zelenov, Representations of commutations relations for p-adic systems of infinitely many degrees of freedom, J. Math. Phys. 33 (1992), 178-188. | MR | Zbl

[Zel 93] E.I. Zelenov, p-adic Heisenberg group and Maslov index, comm. Math. Phys. 155 (1993), 489-502. | MR | Zbl

[Zel 94] E.I. Zelenov, The infinite-dimensional p-adic symplectic group, Russian Acad. Sci. Izv. Math. 43 (1994), 421-441. | MR | Zbl