Representation varieties of the fundamental groups of compact orientable surfaces

Israel Journal of Mathematics

Volumn 93, Issue , 1996, Pages 29-71

  Rapinchuk, A S ^a,b   Benyash Krivetz, V V ^b   Chernousov, V I ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b INSTITUTE OF MATHEMATICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030461681     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02761093     Document Type: Article

References (29)

1. H. Bass and A. Lubotzky, Automorphisms of groups and of schemes of finite type, Israel Journal of Mathematics 44 (1983), 1-22.
2. A. Borel, Linear Algebraic Groups, Springer-Verlag, Berlin-Heidelberg-New York, 1991.
3. n-quotients, Inventiones mathematicae 104 (1991), 179-199.
4. C. Chevalley, On algebraic group varieties, Journal of the Mathematical Society of Japan 6 (1954), 303-324.
5. J.-L. Colliot-Thelene and J.-J. Sansuc, La R-equivalence sur les tores, Annales Scientifiques de l'École Normale Supérieure 10 (1977), 175-229.
6. D. Djokovič, Cosets of centralizers in the general linear groups contain regular elements, to appear in: Linear Algebra and its Applications.
7. E. Formanek, The center of the ring of 3 by 3 generic matrices, Linear and Multilinear Algebra 7 (1979), 203-212.
8. E. Formanek, The center of the ring of 4 by 4 generic matrices, Journal of Algebra 62 (1980), 304-319.
9. M. Gerstenhaber, On dominance and varieties of commuting matrices, Annals of Mathematics 73 (1961), 324-348.
10. W. Goldman, Topological components of spaces of representations, Inventiones mathematicae 93 (1988), 557-607.
11. R. M. Guralnick, A note on commuting pairs of matrices, Linear and Multilinear Algebra 31 (1992), 71-75.
12. Jun Li, The space of surface group representations, Preprint UCLA.
13. V. V. Kursov, Commutators in multiplicative groups of skew-fields, Doklady Belorussian Academy of Science 26 (1982), 101-103 (in Russian).
14. T. Y. Lam, The Algebraic Theory of Quadratic Forms, Addison Wesley-Benjamin, Reading, Massachusets, 1973.
15. L. Le Bruyn, Centers of generic division algebras, the rationality problem 1965-1990, Israel Journal of Mathematics 76 (1991), 97-111.
16. A. Lubotzky and A. Magid, Varieties of representations of finitely generated groups, Memoirs of the American Mathematical Society 58 (1985), 1-116.
17. R. Lyndon and P. Shupp, Combinatorial Group Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
18. T. Motzkin and O. Taussky, Pairs of matrices with property L. II, Transactions of the American Mathematical Society 80 (1955), 387-401.
19. R. S. Pierce, Associative Algebras, Springer-Verlag, Berlin-Heidelberg-New York, 1977.
20. V. P. Platonov, Rings and varieties of representations of finitely generated groups, Topics in Algebra. Minsk 4 (1989), 36-40 (in Russian).
21. V. P. Platonov and A. S. Rapinchuk, Algebraic Groups and Number Theory, Academic Press, New York, 1993.
22. A. S. Rapinchuk and V. V. Benyash-Krivetz, Geometric representation theory for fundamental groups of compact orientable surfaces, Doklady Russian Academy of Science 329 (1993), 140-143 (in Russian).
23. A. S. Rapinchuk, V. V. Benyash-Krivetz and V. I. Chernousov, Representation varieties of the fundamental groups of compact orientable surfaces, preprint 94-030 of the SFB-343 "Diskrete Strukturen in der Mathematik" (Universität Bielefeld, Germany).
24. R. W. Richardson, Commuting varieties of semisimple Lie algebras and algebraic groups, Compositio Mathematica 38 (1979), 311-327.
25. I. R. Shafarevich, Basic Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
26. I. R. Shafarevich, Algebraic surfaces, Proceedings of the Steklov Institute of Mathematics 75 (1965) (transl. by the AMS, 1967).
27. T. Springer and R. Steinberg, Conjugacy classes, in Seminar in Algebraic groups and Related Finite Groups (ed. A. Borel et al.), Lecture Notes in Mathematics 131, Springer-Verlag, Berlin-Heidelberg-New York, 1970.
28. R. G. Thompson, Commutators in the special and general linear groups, Transactions of the American Mathematical Society 101 (1961), 16-33.
29. V. E. Voskresenskii, Algebraic Tori, Nauka, Moscow, 1977 (in Russian).