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Holomorphic mappings of regular orbit spaces of Coxeter groups of series B and D

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Literature Cited

  1. V. I. Arnol'd, “Topological invariants of algebraic functions,” Funkts. Anal. Prilozhen.,4, No. 2, 1–9 (1970).

    Google Scholar 

  2. E. A. Gorin and V. Ya. Lin, “Algebraic equations with continuous coefficients and some questions in the algebraic theory of braids,” Mat. Sb.,78, No. 4, 579–610 (1969).

    Google Scholar 

  3. V. Ya. Lin, “On compositions of algebraic functions,” Funkts. Anal. Prilozhen.,6, No. 1, 77–78, (1972).

    Google Scholar 

  4. V. I. Arnol'd, “Critical points of smooth functions and their normal forms,” Usp. Mat. Nauk,30, No. 5, 3–65 (1975).

    Google Scholar 

  5. N. Bourbaki, Groupes et Algèbres de Lie, Hermann, Paris.

  6. E. Brieskorn, “The fundamental group of the regular orbit space of the complexification of a finite group generated by reflections,” Usp. Mat. Nauk,30, No. 6, 147–151 (1975).

    Google Scholar 

  7. P. Deligne, “Les immeubles des groupes de tresses généralisés,” Invent. Math.,17, No. 4, 273–302 (1972).

    Google Scholar 

  8. V. Ya. Lin, “On representations of a braid group by permutations,” Usp. Mat. Nauk,27, No. 3, 192 (1972).

    Google Scholar 

  9. V. Ya. Lin, “Representations of braids by permutations,” Usp. Mat. Nauk,29, No. 1, 173–174 (1974).

    Google Scholar 

  10. V. M. Zinde, “Commutators of Artin groups,” Usp. Mat. Nauk,30, No. 5, 207–208 (1975).

    Google Scholar 

  11. V. M. Zinde, “Some homomorphisms of Artin groups of series Bn and Dn into groups of the same series and into symmetric groups,” Usp. Mat. Nauk,32, No. 1, 189–190 (1977).

    Google Scholar 

  12. V. Ya. Lin, “Algebraic functions with a universal discriminant variety,” Funkts. Anal. Prilozhen.,6, No. 1, 81–82 (1972).

    Google Scholar 

  13. V. M. Zinde, “Analytic properties of the regular orbit spaces of Coxeter groups of series B and D,” Funkts. Anal. Prilozhen.11, No. 1, 69–70 (1977).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 18, No. 5, pp. 1015–1026, September–October, 1977.

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Zinde, V.M. Holomorphic mappings of regular orbit spaces of Coxeter groups of series B and D. Sib Math J 18, 716–724 (1977). https://doi.org/10.1007/BF00967010

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  • DOI: https://doi.org/10.1007/BF00967010

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