L. Barthel, Local Howe correspondence for groups of similitudes, J. Reine Angew. Math, vol.414, pp.207-220, 1991.

J. Bernstein, P. Rédigé-par, L. Deligne, and . Centre-de-bernstein, Représentations des groupe réductifs sur un corps local, Travaux en cours, 1984.

J. Bernstein, P-invariant distributions on GL(N) and the classification of unitary representations of GL(N) (Non-archimedean case), Lecture Notes in Math, vol.15, issue.2, pp.50-102, 1984.
DOI : 10.2307/1971071

. [. Bernshtein, All reductive p-adic groups are of type I, Functional Anal, Appli, vol.8, pp.91-93, 1974.

. N. Bz-]-i, A. V. Bernstein, and . Zelevinsky, Representations of the group GL(n, F) where F is a nonarchimedean local field, Russ.Math.Surv, vol.31, issue.3, pp.1-68, 1976.

. J. Bh-]-c, G. Bushnell, and . Henniart, The local langlands conjecture for GL, Grundlehren der Mathematischen Wissenschaften, 2006.

]. M. Co and . Cognet, Represéntation de Weil et changement de base quadratique, Bull. Soc. Math. France, vol.113, issue.4, pp.403-457, 1985.

. S. Gk, A. Gelbart, and . Knapp, L-indistinguishability and R-groups for special linear groups, pp.43-101, 1982.

J. [. Gérardin and . Labesse, The solution of a base change for GL(2), In Automorphic forms, representations et L-functions, Amer.Math.Soc.Providence,R.I, vol.33, issue.2, pp.115-133, 1977.

M. Hanzer and G. Mui-`-cmui-`-mui-`-c, Parabolic induction and Jacquet functors for metaplectic groups, Journal of Algebra, vol.323, issue.1, pp.241-260, 2010.
DOI : 10.1016/j.jalgebra.2009.07.001
URL : http://doi.org/10.1016/j.jalgebra.2009.07.001

. M. Hk, S. S. Harris, and . Kudla, Arithmetic automorphic forms for the non-holomorphic discrete series of GSp(2), Duke Math, J, vol.66, pp.59-121, 1992.

. M. Hst, D. Harris, R. Soudry, and . Taylor, l-adic representations associated to modular forms over imaginary quadratic fields I : lifting to Gsp, Invent. Math, vol.4, issue.112, pp.377-411, 1993.

. [. Henniart, Repr??sentations des groupes r??ductifs p-adiques et de leurs sous-groupes distingu??s cocompacts, Journal of Algebra, vol.236, issue.1, p.1, 2001.
DOI : 10.1006/jabr.2000.8497
URL : http://doi.org/10.1006/jabr.2000.8497

. G. Hs, J. Hochschild, and . Serre, Cohomology of group extensions, Trans. Amer. Math. Soc, vol.74, pp.110-134, 1953.

]. R. Howe1 and . Howe, ?-series and invariant theory, in automorphic forms, representations and L-functions, Proc. Symp. in Pure Math. XXXIII, pp.275-286, 1979.

]. R. Howe2 and . Howe, Transcending classical invariant theory, Journal of the American Mathematical Society, vol.2, issue.3, pp.535-552, 1984.
DOI : 10.1090/S0894-0347-1989-0985172-6

]. D. Kazh and . Kazhdan, The minimal representation of D4, Prog.Math, pp.92-125, 1990.

[. Knus, A. A. Merkurjev, M. Rost, and J. Tignol, The Book of Involutions, Number 44 in, 1998.

]. S. Kud1 and . Kudla, On the local theta correspondence, Invent. Math, vol.83, pp.229-255, 1986.

]. S. Kud2, . P. Kudlal-]-r, and . Langlands, Notes on the local theta correspondence( lectures at the European School in Group Theory ), preprint, Base chane for GL 2 , Annals of Math. Studies 96, 1980.

. Y. Mr-]-z, S. Mao, and . Rallis, Cubic base change for GL(2), Canad, J. Math, vol.52, issue.1, pp.172-196, 2000.

]. A. Mi and . Minguez, Correspondance de Howe explicite : paires duales de type II, Ann. Scient. Ec. Norm. Sup, vol.41, issue.5, pp.715-739, 2008.

M. [. Moeglin, J. Vigneras, and . Waldspurger, Correspondances de Howe sur un corps padique, Lecture Notes in Math, vol.1921, 1987.

]. C. Mo1 and . Moore, Extensions and low dimensional cohomology theory of locally compact groups, I, Tran. Amer, Math. Soc, vol.113, pp.40-63, 1964.

]. C. Mo2 and . Moore, Group extensions of p-adic and adelic linear groups, Publ, 5670. [N] J.NEUKIRCH, Algebraic number theory, Grundlehren der Mathematischen Wissenschaften, 1968.

R. [. Perrin and . De-schrödinger, Indice de Maslov et groupe métaplectique, in Non commutative Harmonic Analysis and Lie Groups, 1980.

. D. Pr, G. Prasad, and . Ragunathan, Central extensions of rational points of groups over fields, Ann. of Math, vol.119, pp.143-201, 1984.

. [. Rallis, On the Howe duality conjecture, Compositio Math, vol.51, pp.333-399, 1984.

R. R. Rao and . Rao, On some explicit formulas in the theory of the Weil representation, Pacific J. Math, vol.157, pp.335-371, 1993.

]. D. Rena and . Renard, Représentations des groupes réductifs p-adiques, Cours Spécialisés 17, 2010.

. [. Roberts, The theta correspondence for similitudes, Israel Journal of Mathematics, vol.58, issue.56, pp.285-317, 1996.
DOI : 10.1007/BF02762709

. [. Roberts, The nonarchimedean theta correspondence for GS p(2) and GO(4), Transactions of the American Mathematical Society, vol.351, issue.02, pp.781-811, 1999.
DOI : 10.1090/S0002-9947-99-02126-1

]. W. Sc and . Scharlau, Quadratic and Hermitiens forms, p.270, 1985.

]. H. Sh and . Shimizu, Theta-series and automorphic forms on GL 2, J. Math.Soc.Japan, vol.24, pp.638-683, 1972.

. [. Silberger, Isogeny restriction of iireductible admissible representation are finite direct sums of irreducible admissible representations, Proc. Amer, pp.378-397, 1979.

[. Waldspurger, Démonstration d'une conjecture de dualité de Howe dans le cas p-adique p 2, Israel Math. Conf. Proc. vol, pp.267-324, 1990.

. [. Weil, Sur certains groupes d'op??rateurs unitaires, Acta Mathematica, vol.111, issue.0, pp.143-211, 1964.
DOI : 10.1007/BF02391012

J. S. Andrade, Repr??sentations de certains groupes symplectiques finis, Mémoires de la Société mathématique de France, vol.1, pp.55-56, 1978.
DOI : 10.24033/msmf.240
URL : http://archive.numdam.org/article/MSMF_1978__55-56__1_0.pdf

. C. Bh-], G. Bushnell, and . Henniart, The local langlands conjecture for GL, Grundlehren der Mathematischen Wissenschaften, 2006.

]. A. Bo and . Borel, Linear algebraic groups, Graduate Texts in Mathematics, vol.126, 1991.

]. M. Co and . Cognet, Représentation de Weil et changement de base quadratique, Bull. Soc. Math. France, vol.113, issue.4, pp.403-457, 1985.

]. F. Di and . Digne, Shintani descent and L functions of Deligne-Lusztig varieties, Proc. of symp. in pure math, pp.47-61, 1987.

J. [. Digne and . Michel, Representations of finite groups of Lie type, 1991.
DOI : 10.1017/CBO9781139172417

]. W. Gan and . Gan, Exceptional Howe correspondences over finite fields, Compositio Mathematica, vol.118, issue.3, pp.323-344, 1999.
DOI : 10.1023/A:1001555811349

]. P. Ge and . Gerardin, Weil representations associated to finite fields, J. Algebra, vol.46, 1977.

]. A. Gy and . Gyoja, Liftings of irreducible characters of finite reductive groups, Osaka J. Math, vol.16, issue.1, pp.1-30, 1979.

M. [. Moeglin, J. Vigneras, and . Waldpurger, Correspondances de Howe sur un corps padique, Lecture Notes in Math, vol.1921, 1987.

]. W. Gan and . Gan, Exceptional Howe correspondences over finite fields, Compositio Mathematica, vol.118, issue.3, pp.323-344, 1999.
DOI : 10.1023/A:1001555811349

]. P. Ge and . Gerardin, Weil representations associated to finite fields, J. Algebra, vol.46, 1977.

]. A. Gy and . Gyoja, Liftings of irreducible characters of finite reductive groups, Osaka J. Math, vol.16, issue.1, pp.1-30, 1979.

M. [. Moeglin, J. Vigneras, and . Waldpurger, Correspondances de Howe sur un corps padique, Lecture Notes in Math, vol.1921, 1987.

M. Cognet, Repr??sentation de Weil et changement de base quadratique, Bulletin de la Société mathématique de France, vol.79, issue.4, pp.403-457, 1985.
DOI : 10.24033/bsmf.2041
URL : http://archive.numdam.org/article/BSMF_1985__113__403_0.pdf

]. Sh and . Shinoda, The Characters of Weil Représentations associated to finite fields, J. Algebra, vol.66, pp.251-280, 1980.

]. T. Shin and . Shintani, Two remarks on the irreducible characters of finite general linear groups, J. Math. Soc. Japan, vol.28, issue.2, pp.396-414, 1976.