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Classification of Hermitean Forms in Characteristic 2

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Part of the book series: Progress in Mathematics ((PM,volume 1))

Abstract

All forms considered in this chapter are E-hermitean forms over a field k of characteristic 2 equipped with antiautomorphism 𝜉↣𝜉.

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References

  1. F. Ayres, The expression of non-singular row-finite matrices in terms of strings. Ann.Univ.Sci. Budapest. Sectio Math. 7 (1964) 91–96.

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  2. H. Gross and R.D. Engle, Bilinear forms on k-vector spaces of denumerable dimension in the case of char(k) = 2, Comment. Math.Helv. 40 (1965) 247–266.

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  3. G. Maxwell, Classification of countably infinite hermitean forms over skewfields. Amer. J. Math. 96 (1974) 145–155.

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  4. J. Milnor, Symmetric inner products in characteristic 2. In “prospects in Mathematics” Ann. of Math. Studies, No. 70 Princeton Univ. Press 59–75.

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  5. P. Vermes, Multiplicative groups of row-and column-finite infinite matrices. Ann. Univ. Sci. Budapest, Sectio Math. 5 (1962) 15–23.

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© 1979 Springer Science+Business Media New York

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Gross, H. (1979). Classification of Hermitean Forms in Characteristic 2. In: Quadratic Forms in Infinite Dimensional Vector Spaces. Progress in Mathematics, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1454-8_8

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  • DOI: https://doi.org/10.1007/978-1-4757-1454-8_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1456-2

  • Online ISBN: 978-1-4757-1454-8

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