Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

On the Gibson Bounds over Finite Fields

V. Budrevich, Mikhail;  E. Guterman, Alexander — 2012

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 15A15, 15A04. We investigate the Pólya problem on the sign conversion between the permanent and the determinant over finite fields. The main attention is given to the sufficient conditions which guarantee non-existence of sing-conversion. In addition we show that F3 is the only field with the property that any matrix with the entries from the field is convertible. As a result we obtain that over finite fields there are no analogs of the upper...

Immanant Conversion on Symmetric Matrices

M. Purificação Coelho;  M. Antónia Duffner;  Alexander E. Guterman — 2014

Special Matrices

Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(Φ(Α ) + αΦ(Β)) for all matrices A,В ε Σ„(С) and all scalars a ε C are automatically linear and bijective. As a corollary of the above result we characterize all such maps Φ acting on ΣИ(С).

Page 1

Download Results (CSV)