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Linear maps on Hermitian matrices: The stabilizer of an inertia class. II. (English) Zbl 0593.15021

[For part I, see Can. Math. Bull. 28, 401-404 (1985; Zbl 0577.15008)].
The authors remove the onto assumption in their previous work, proving that a nonsingular linear transformation on complex Hermitian matrices sending an inertia class into itself has the form eX*AX or \(eX*A^ tX\) except possibly for inertia classes (n,0,0),(0,n,0),(0,0,n),(n/2,n/2,0).
Reviewer: K.H.Kim

MSC:

15A63 Quadratic and bilinear forms, inner products
15B57 Hermitian, skew-Hermitian, and related matrices

Citations:

Zbl 0577.15008
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References:

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