Dimensions of anisotropic indefinite quadratic forms. I.
Hoffmann, Detlev W. (2001)
Documenta Mathematica
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Displaying similar documents to “Excellent special orthogonal groups.”
Dimensions of anisotropic indefinite quadratic forms. I.
The Zassenhaus decomposition for the orthogonal group: properties and applications.
Hahn, Alexander (2001)
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Observations on quasi-linear partial differential equations
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Dimensions of anisotropic indefinite quadratic forms. II.
Hoffmann, Detlev W. (2010)
Documenta Mathematica
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Quadratic forms and sesquilinear forms in infinite dimensional spaces. Witt type theorems in spaces of denumerably infinite dimension
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The second isomorphism theorem on ordered set under antiorders
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Rost projectors and Steenrod operations.
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On quasi-polarized manifolds whose sectional genus is equal to the irregularity
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A. Lelek (1962)
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Dimension of quasi-metrizable spaces and bicompleteness degree.
Salvador Romaguera, Juan Tarrés (1993)
Extracta Mathematicae
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On the structure and zero divisors of the Cayley-Dickson sedenion algebra
Raoul E. Cawagas (2004)
Discussiones Mathematicae - General Algebra and Applications
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The algebras ℂ (complex numbers), ℍ (quaternions), and 𝕆 (octonions) are real division algebras obtained from the real numbers ℝ by a doubling procedure called the Cayley-Dickson Process. By doubling ℝ (dim 1), we obtain ℂ (dim 2), then ℂ produces ℍ (dim 4), and ℍ yields 𝕆 (dim 8). The next doubling process applied to 𝕆 then yields an algebra 𝕊 (dim 16) called the sedenions. This study deals with the subalgebra structure of the sedenion algebra 𝕊 and its zero divisors. In particular,...
Some seminorms on quasi *-algebras
Camillo Trapani (2003)
Studia Mathematica
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Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.