On minimal generating systems for matrix O(3)-invariants
نویسنده
چکیده
The algebra of invariants of several 3×3 matrices under the action of the orthogonal group by simultaneous conjugation is considered over a field of characteristic different from two. The maximal degree of elements of minimal system of generators is described with deviation 3. 2000 Mathematics Subject Classification: 16R30; 13A50.
منابع مشابه
Computing the Invariants of Finite Abelian Groups
We investigate the computation and applications of rational invariants of the linear action of a finite abelian group in the non-modular case. By diagonalization, the group action is accurately described by an integer matrix of exponents. We make use of linear algebra to compute a minimal generating set of invariants and the substitution to rewrite any invariant in terms of this generating set....
متن کاملAll orders asymptotic expansion of large partitions
The generating function which counts partitions with the Plancherel measure (and its q-deformed version), can be rewritten as a matrix integral, which allows to compute its asymptotic expansion to all orders. There are applications in statistical physics of growing/melting crystals, T.A.S.E.P., and also in algebraic geometry. In particular we compute the Gromov-Witten invariants of the Xp = O(p...
متن کاملComputation of invariants of finite abelian groups
We investigate the computation and applications of rational invariants of the linear action of a finite abelian group in the non-modular case. By diagonalization, such a group action can be described by integer matrices of orders and exponents. We make use of integer linear algebra to compute a minimal generating set of invariants along with the substitution needed to rewrite any invariant in t...
متن کاملPreconditioners for Nondefinite Hermitian Toeplitz Systems
This paper is concerned with the construction of circulant preconditioners for Toeplitz systems arising from a piecewise continuous generating function with sign changes. If the generating function is given, we prove that for any c > 0, only O(log N) eigenvalues of our preconditioned Toeplitz systems of size N xN are not contained in [-1c, -1+c]U [1-c, 1+c). The result can be modified for trigo...
متن کاملVector Invariants for the Two Dimensional Modular Representation of a Cyclic Group of Prime Order
In this paper, we study the vector invariants, F[m V2] Cp , of the 2-dimensional indecomposable representation V2 of the cylic group, Cp, of order p over a field F of characteristic p. This ring of invariants was first studied by David Richman [18] who showed that this ring required a generator of degree m(p−1), thus demonstrating that the result of Noether in characteristic 0 (that the ring of...
متن کامل