Pacific Journal of Mathematics

On the uniform distribution property of certain linear algebraic groups.

Atsushi Murase
Source: Pacific J. Math. Volume 88, Number 1 (1980), 163-187.
First Page: Show Hide
Primary Subjects: 22E55
Secondary Subjects: 20H05
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102779718
Zentralblatt MATH identifier: 0452.22018
Mathematical Reviews number (MathSciNet): MR595818

References

[1] I. N. Bernshtein, All reductive p-adic groups are tame, Functional Analysis and its Appl., 8 No. 2, (1974),91-93.
Mathematical Reviews (MathSciNet): MR50:543
Zentralblatt MATH: 0298.43013
[2] A. Borel, Some finiteness properties of adele groups over number fields, Publ. Inst. Hautes Etudes Scient., 16 (1963), 5-30.
Mathematical Reviews (MathSciNet): MR34:2578
Zentralblatt MATH: 0135.08902
[3] A. Borel and J. Tits, Homomorphismes "abstraits"de groupes algebriques simples, Ann.of Math., 97 (1973),499-571.
Mathematical Reviews (MathSciNet): MR47:5134
Zentralblatt MATH: 0272.14013
[4] I. Gefand, I. Graev and I. I. Pjateckii-Sapiro, RepresentationTheory and Auto- morphic Functions, SaundersCompany.
[5] R. Godement, Analysespectrale des functionsmodulares,Seminaire Bourbaki, Expose 278, 1964.
[6] H. Hijikata, On the structure of semi-simple algebraic groups over valuation fields, I, Japan. J. Math., 1, No. 2, (1975), 223-300.
Mathematical Reviews (MathSciNet): MR58:16902
Zentralblatt MATH: 0386.20021
[7] R. Howe and C. C. Moore, Asymptoticproperties of unitaryrepresentations,J. Functional Analysis, 32 (1979), 72-96.
Mathematical Reviews (MathSciNet): MR80g:22017
Zentralblatt MATH: 0404.22015
[8] J. E. Humphreys, Linear Algebraic Groups, Springer-Verlag.
Mathematical Reviews (MathSciNet): MR53:633
[9] M. Kneser, Strong approximation,Algebraic groups and discontinuous subgroups, (Proc. Symp. Pure Math. Boulder, Colo.), (1965), 187-196.
Mathematical Reviews (MathSciNet): MR35:4225
[10] M. Kuga, On a uniformityof distributionof 0-cycles and the eigenvalues of Heche's operators, I, II, Coll. Gen. Ed. Sci. Papers, Univ. Tokyo, 10 (1960), 1-16, 171-186.
Mathematical Reviews (MathSciNet): MR23:A3790
Zentralblatt MATH: 0093.08101
[11] V. P. Platonov, The problem of strong approximationand the Kneser-Titscon- jecture for algebraic groups, Math. USSR-Izvestija, 3 (1969), No. 6, 1139-1147.
Mathematical Reviews (MathSciNet): MR41:3485
[12] V. P. Platonov, Addendum to the paper "The problem of strong approximationand the Kneser-Titsconjecture for algebraic groups'', Math. USSR-Izvestija, 4 (1970), No.
Mathematical Reviews (MathSciNet): MR42:7670
[13] C. Pommerenke, Uber die Gleichverteilung von Gitterpunkten aufm-dimensionalen Ellipsoiden,Acta Arith., 5 (1959), 227-257.
Mathematical Reviews (MathSciNet): MR23:A122
Zentralblatt MATH: 0089.26802
[14] G. Shimura, Arithmetic of alternating forms and quaternionhermitianforms, J. Math. Soc. Japan, 15 (1963), 33-65.
Mathematical Reviews (MathSciNet): MR26:3694
Zentralblatt MATH: 0121.28102
[15] A. Weil, Basic Number Theory, Springer-Verlag.
[16] H. Yoshida, On an analogue of the Sato Conjecture, Inventiones Math., 19 (1973), 261-271.
Mathematical Reviews (MathSciNet): MR49:2746
Zentralblatt MATH: 0292.14011

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