Symmetry preserving degenerations of the generic symmetric matrix
نویسندگان
چکیده
منابع مشابه
Determinant preserving transformations on symmetric matrix spaces
Let Sn(F) be the vector space of n × n symmetric matrices over a field F (with certain restrictions on cardinality and characteristic). The transformations φ on the space which satisfy one of the following conditions: 1. det(A+ λB) = det(φ(A) + λφ(B)) for all A,B ∈ Sn(F) and λ ∈ F; 2. φ is surjective and det(A+ λB) = det(φ(A) + λφ(B)) for all A,B and two specific λ; 3. φ is additive and preserv...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.12.018