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Original Articles

Weil representations of , q > 3 odd, via presentation and compatibility of methods

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Pages 653-663 | Received 14 Jun 2016, Published online: 13 Jun 2017

References

  • Aubert, A., Przebinda, T. (2014). A reverse engineering approach to Weil representation. Cent. Eur. J. Math. 12:1500–1585.
  • Dieudonné, J. (1967). Sur les groupes classiques. Publications de L’Institut de Mathématique de L’Université de Strasbourg, VI. Actualités Scientifiques et Industrielles, No. 1040. Paris: Hermann.
  • Dutta, K., Prasad, A. (2015). Combinatorics of finite abelian groups and Weil representations. Pacific J. Math. 275(2):295–324.
  • Frez, L. G. (2009). A generalized Weil representation for SL∗(2,Am), where Am=𝔽q[x]∕⟨xm⟩. J. Algebra 332:42–53.
  • Frez, L. G., Pantoja, J. (2015). Weil representation of a generalized linear group over a ring of truncated polynomials ring over a finite field endowed with a second class of involution. SIGMA 11:076.
  • Gérardin, P. (1977). Weil representations associated to finite fields. J. Algebra 46:54–101.
  • Groove, L. (2002). Classical Groups and Geometric Algebra. Graduate Studies in Mathematics, Vol. 39. Unite States of America: American Mathematical Society.
  • Gutiérrez-Frez, L., Pantoja, J., Soto Andrade, J. (2011). On generalized Weil representations over involutive rings. Contemp. Math. 544:109–122.
  • Herman, A., Szechtman, F. (2014). Weil representation of unitary groups associated to a ramified quadratic extension of local rings. J. Algebra 392:158–184.
  • Kutzko, P. (1984). The exceptional representations of GL2. Compos. Math. 51:3–14.
  • Lion, G., Vergne, M. (1980). The Weil Representation, Maslov Index and Theta Series. Progress in Mathematics, Vol. 6. Birkhäuser.
  • Nobs, A. (1976). Die irreduziblen Darstellungen der Gruppen SL2(ℤp), insbesondere SL2(ℤ2). I. Comment. Math. Helv. 51:465–489.
  • Nobs, A. (1977). Die irreduziblen Darstellungen von GL2(ℤp), insbesondere GL2(ℤ2). Math. Ann. 229(2):113–133.
  • Nobs, A., Wolfart, J. (1976). Die irreduziblen Darstellungen der Gruppen SL2(ℤp), insbesondere SL2(ℤ2). II. Comment. Math. Helv. 51:491–526.
  • Pantoja, J. (2006). A presentation of the group SL∗(2,A), A a simple artinian ring with involution. Manuscripta Math. 121:97–104.
  • Pantoja, J., Soto-Andrade, J. (2003). A Bruhat decomposition of the group SL∗(2,A). J. Algebra 262:401–412.
  • Pantoja, J., Soto-Andrade, J. (2009). Bruhat presentations for ∗-classical groups. Commun. Algebra 37:4170–4191.
  • Soto-Andrade, J. (1978). Représentations de certain groupes symplectiques finis. Bull. Soc. Math. France Mem. 55–56:5–334.
  • Tanaka, S. (1967). Construction and classification of irreducible representations of special linear group of the second order over finite field. Osaka J. Math. 4:65–84.
  • Tanaka, S. (1967). Irreducible representations of the binary modular congruence groups mod pλ. J. Math. Kyoto Univ. 7:123–132.
  • Vera-Gajardo, A. (2015). A generalized Weil representation for the finite split orthogonal group Oq(2n,2n), q odd, q>3. J. Lie Theory 25:257–270.
  • Weil, A. (1964). Sur certains groupes d’opérateurs unitaires. Acta Math. 111:143–211.

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