Invariants of vector-valued bilinear and sesquilinear forms
نویسندگان
چکیده
منابع مشابه
Canonical matrices of bilinear and sesquilinear forms
Canonical matrices are given for • bilinear forms over an algebraically closed or real closed field; • sesquilinear forms over an algebraically closed field and over real quaternions with any nonidentity involution; and • sesquilinear forms over a field F of characteristic different from 2 with involution (possibly, the identity) up to classification of Hermitian forms over finite extensions of...
متن کاملA regularization algorithm for matrices of bilinear and sesquilinear forms
Over a field or skew field F with an involution a 7→ ã (possibly the identity involution), each singular square matrix A is *congruent to a direct sum S∗AS = B ⊕ Jn1 ⊕ · · · ⊕ Jnp , 1 ≤ n1 ≤ · · · ≤ np, in which S is nonsingular and S∗ = S̃ ; B is nonsingular and is determined by A up to *congruence; and the ni-by-ni singular Jordan blocks Jni and their multiplicities are uniquely determined by ...
متن کاملOn relations of invariants and syzygies for vector-valued forms
A method for constructing the syzygies of vector-valued bilinear forms is given. Explicit formulas for the generators of the relations among the invariant rational functions are listed. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1 Preliminaries 1.
متن کاملEla on Relations of Invariants for Vector - Valued Forms
An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vector-valued bilinear forms. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1.1. Introduction. Vector-valued forms play a key role in the study of higher codimensional geometries. For example, they occur naturally in t...
متن کاملOn relations of invariants for vector-valued forms
An algorithm is given for computing explicit formulas for the generators of relations among the invariant rational functions for vectorvalued bilinear forms. These formulas have applications in the geometry of Riemannian submanifolds and in CR geometry. 1 Preliminaries 1.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1995
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)00174-x