Showing papers in "Advances in Mathematics in 1992"

TL;DR: In this article, the authors consider specific additive decompositions d = d 1 + … + d n of metrics, defined on a finite set X (where a metric may give distance zero to pairs of distinct points).

TL;DR: In this article, a rigorous construction and generalization of the multifractal decomposition for Moran fractals with infinite product measure is presented, which is specified by a system of nonnegative weights in the partition sum.

TL;DR: In this article, it was shown that the q-Kostka polynomials K λ, μ ( q ) have non-negative integer coefficients and other monotonicity properties.

TL;DR: In this paper, it was shown that for every p ⩾ q ⊾ d + 1 there is a c = c(p, q, d) < ∞ such that for any family J of compact, convex sets in road, there is at most c points in road that intersects each member of J.

TL;DR: The notion of semi-proper forcing axioms was introduced by Shelah in this article as an obvious strengthening of the Proper Forcing Axiom (PFA), previously formulated and proved consistent by Baumgartner (see [Bal, Del]).

TL;DR: In this paper, the authors considered the Chern-Simons functional on the space of connexions on a homology 3-sphere C and, using Morse theoretic methods, defined periodic homology groups HZ,(C).

TL;DR: In this article, it was shown that the unipotent support of an irreducible representation coincides with the wave front set of the dual representation, which is known from Kawanaka's conjecture.

TL;DR: In this article, Atiyah proposed an analytic delinition of the K-homology groups K,(Y), defined abstractly as the dual theory to the Atiyah-Hirzebruch K(cohomology)-theory.

TL;DR: The left distributive law for a single binary operation is the law a(&) = (&)(a~) as discussed by the authors, and it has been studied more recently by set theorists because of its connection with elementary embeddings.

TL;DR: In this paper, group actions and generating functions were used to derive various arithmetic properties of the q -binomial coefficients and q -Stirling numbers, including recurrence relations and computation of residues modulo a cyclotomic polynomial.

TL;DR: In the very late eighties, a new identity for symmetric polynomials was discovered as mentioned in this paper, which is a generalization of the Jacobi-Trudi identity.

TL;DR: In this article, the authors studied the free partially commutative Lie K-algebra L(A, θ) defined by a commutation relation θ on an alphabet A. Their behavior is very similar to that of the free Lie algebra.

TL;DR: In this paper, a generalization of symmetric functions to a negative number of variables was proposed, which is similar to our generalization to the Stirling number in this direction.

TL;DR: In this article, it was shown that the hemimaximal sets form an orbit by extending Soare's proof for maximal sets and detail the properties of splittings of maximal sets which led to this result.

TL;DR: The main result of as discussed by the authors is that any primitive ideal is the annihilator of a graded simple quotient of a Verma module in the enveloping algebra of a semisimple Lie algebra.

TL;DR: An r-commutative algebra as discussed by the authors is an algebra A equipped with a Yang-Baxter operator R : A ⊗ A → A, A satisfying m = mR, where m is the multiplication map.

TL;DR: In this article, the Fourier transform norm inequalities for measure weights υ and υ on moment subspaces of Lpυ(R n) were proved for υ(t) = ∥t∥α, n (p′ − 1) (p+n) (π + n)(p′−1) −1).

TL;DR: In this article, the authors compute the Hochschild homology and cohomology of the ring A = k[X,... X,]/(f), where k is an arbitrary commutative ring with unit and f is a polynomial in k[ X,. X,,].

TL;DR: In this article, the basic Plethystic Algebras of the Umbra1 Calculus have been studied, including the Gordan-Capelli series and Straightening Formulas for A(S2(V)).

TL;DR: In this paper, the generalized Gram-Sommerville and Gauss-Bonnet theorems are obtained and are found to be dual for noncompact and unbounded polyhedcra in an affine space over an ordered field.

TL;DR: A canonical map from the Burnside ring Ω(C) of a finite cyclic group C into the burnside ring of any finite group G of the same order is presented in this article.