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Spinor norm for skew-hermitian forms over quaternion algebras
(Elsevier, 2015)
We complete all local spinor norm computations for quater-nionic skew-hermitian forms over the field Qof rational num-bers. This can be used to compute the number of classes in a genus of skew-hermitian lattices of rank ...
Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically ...
Representation fields for quaternionic skew-hermitian forms
(Birkhäuser/Springer Basel AG, 2010)
Classes of indefinite quadratic forms in a genus are in correspondence
with the Galois group of an abelian extension called the spinor class
field (Estes and Hsia, Japanese J. Math. 16, 341–350 (1990)). Hsia has
proved ...
Spinor norm for local skew-hermitian forms
(AMERICAN MATHEMATICAL SOCIETY, 2004)
Spinor norm for local skew-hermitian formsCONTEMPORARY MATHEMATICS-AMERICAN MATHEMATICAL SOCIETY (PRINT)CONTEMP MATH - AM MATH SOC (PRINT)
(AMERICAN MATHEMATICAL SOCIETY, 2017)