منابع مشابه
Rees Algebras of Diagonal Ideals
There is a natural epimorphism from the symmetric algebra to the Rees algebra of an ideal. When this epimorphism is an isomorphism, we say that the ideal is of linear type. Given two determinantal rings over a field, we consider the diagonal ideal, kernel of the multiplication map. We prove in many cases that the diagonal ideal is of linear type and recover the defining ideal of the Rees algebr...
متن کاملDiagonal Bases in Orlik-solomon Type Algebras
To encode an important property of the “no broken circuit bases” of the Orlik-Solomon-Terao algebras, András Szenes has introduced a particular type of bases, the so called “diagonal basis”. We prove that this definition extends naturally to a large class of algebras, the so called χ-algebras. Our definitions make also use of an “iterative residue formula” based on the matroidal operation of co...
متن کاملDiagonal Coinvariants and Double Affine Hecke Algebras
It was conjectured by Haiman [H] that the space of diagonal coinvariants for a root system R of rank n has a ”natural” quotient of dimension (1 + h) for the Coxeter number h. This space is the quotient C[x, y]/(C[x, y]C[x, y]o ) for the algebra of polynomials C[x, y] with the diagonal action of the Weyl group on x ∈ C ∋ y and the ideal C[x, y]o ⊂ C[x, y] of the W -invariant polynomials without ...
متن کاملCategories of Locally Diagonal Partial Algebras
We define and study the property of local diagonality for partial algebras and also a pair of related properties. We show that each of the three properties, together with idempotency, gives a cartesian closed initially structured subcategory of the category of all partial algebras of a given type. MSC 2000: 08A55, 08C05, 18D15
متن کاملA Numerical Algorithm for Block-diagonal Decomposition of Matrix ∗-algebras
Motivated by recent interest in group-symmetry in the area of semidefinite programming, we propose a numerical method for finding a finest simultaneous block-diagonalization of a finite number of symmetric matrices, or equivalently the irreducible decomposition of the matrix ∗-algebra generated by symmetric matrices. The method does not require any algebraic structure to be known in advance, wh...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1966
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-58-3-309-322