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T-Forms and Their Properties

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Abstract

The present paper continues the second author's paper ``Bilinear forms on categories.'' A class of nondegenerate forms is introduced; in particular, any isomorphism of a totally isotropic direct summand onto another totally isotropic direct summand of an object with a form from this class can be extended to a metric automorphism of the object (even if the division of morphisms by 2 is impossible). Bibliography: 2 titles.

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REFERENCES

  1. J. Dieudonné, La Géométrie des Groupes Classique, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 5, Berlin-Heidelberg-New York (1971).

  2. A. V. Yakovlev, “Bilinear forms on categories," Zap. Nauchn. Semin. POMI, 236, 197–214 (1997).

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Authors and Affiliations

  1. St.Petersburg State University, Russia

    M. I. Kyurshina & A. V. Yakovlev

Authors
  1. M. I. Kyurshina
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  2. A. V. Yakovlev
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Kyurshina, M.I., Yakovlev, A.V. T-Forms and Their Properties. Journal of Mathematical Sciences 112, 4371–4374 (2002). https://doi.org/10.1023/A:1020303221528

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  • DOI: https://doi.org/10.1023/A:1020303221528

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