References
[BR1] V. M. Buchstaber and E. G. Rees. Multi-valued groups, their representations and Hopf algebras.Transformation Groups 1 (1997), 325–349.
[BR2] V. M. Buchstaber and E. G. Rees. Multi-valued groups,n-Hopf algebras andn-ring homomorphisms. Lie Groups and Lie Algebras. Kluwer Academic Publisher, 1998, 85–107.
[BR3] V. M. Buchstaber and E. G. Rees. Frobeniusk-characters andn-ring homomorphisms.Uspekhi Mat. Nauk 52 (1997), 159–160 (Russian); translation inRussian Math. Surveys 52 (1997), 398–399.
[BR4] V. M. Buchstaber and E. G. Rees. A constructive proof of the generalised Gelfand isomorphism.Funct. Anal. Appl. 35 (2001), 257–260.
[For] E. Formanek.The polynomial identities and invariants of n×n matrices. Amer. Math. Soc., 1991.
[Fro1] G. Frobenius.Über Gruppencharaktere. Sitzungsber. Preuss. Akad. Wiss. Berlin, 1896, 985–1021.
[Fro2] G. Frobenius.Über die Primfaktoren der gruppendeterminante. Sitzungsber. Preuss. Akad. Wiss. Berlin, 1896, 1343–1382.
[HJ] H.-J. Hoehnke and K. W. Johnson. The 1-, 2- and 3-characters determine a group.Bull. Amer. Math. Soc. 27 (1992), 243–245.
[Joh] K. W. Johnson. On the group determinant.Math. Proc. Camb. Phil. Soc. 109 (1991), 299–311.
[W] H. Weyl.The Classical Groups. Princeton Univ. Press, 1946.
A. Bergmann. Formen und Modulen über commutativen Ringen beliebiger Charakteristik.J. Reine Angew. Math. 219 (1965), 113–156.
A. Bergmann Hauptnorm und Struktur von Algebren.J. Reine Angew. Math. 222 (1966), 160–194.
H.-J. Hoehnke. Über Komponierbare Formen und hypercomplexe Grossen.Math. Zeitschrift 70 (1958), 1–12.
H.-J. Hoehnke. Über Beziehung zwischen Problemen von H. Brandt aus der Theorie der Algebren und den Automorphismen der Normenform.Math. Nachr. 34 (1967), 15–79.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Buchstaber, V.M., Rees, E.G. The Gelfand map and symmetric products. Selecta Mathematica, New Series 8, 523–535 (2002). https://doi.org/10.1007/BF02637312
Issue Date:
DOI: https://doi.org/10.1007/BF02637312