Search
Search Results
-
Self-duality, Pieri Formula and Cauchy Formulas
Self-duality (evaluation symmetry), which we are going to discuss below, is one of the most characteristic properties of Macdonald polynomials. In...
-
A characterization for the self-duality of proper cones
In this paper, we provide a necessary and sufficient condition for a proper subdual cone to be self-dual. As an application of this, we illustrate...
-
Kummer Quartic Surfaces, Strict Self-duality, and More
In this paper, we first show that each Kummer quartic surface (a quartic surface X with 16 singular points) is, in canonical coordinates, equal to...
-
Self-duality of the local cohomology of the Jacobian ring and Gherardelli’s theorem
We prove that the 0-th local cohomology of the jacobian ring of a projective hypersurface with isolated singularities has a nice interpretation it in...
-
Second-Order Symmetric Duality for Multiple Objectives Nonlinear Programming Under Generalizations of Cone-Preinvexity Functions
In this article, we present generalizations of the cone-preinvexity functions and study a pair of second-order symmetric solutions for multiple...
-
Compatible Structures of Nonsymmetric Operads, Manin Products and Koszul Duality
Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent...
-
(Anti-)Self-Dual Einsteinian Metrics of Zero Signature, Their Petrov Classes and Connection with Kähler and Para-Kähler Structures
AbstractFor (anti-)self-dual Einsteinian metrics, as well as for any (anti-)self-dual metrics of zero signature, the number of logically possible...
-
Radial duality part I: foundations
Renegar (SIAM J Optim 26(4):2649–2676, https://doi.org/10.1137/15M1027371 2016) introduced a novel approach to transforming generic conic...
-
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds
A connection between the Yang–Mills gauge fields on 4-dimensional orientable compact Riemannian manifolds and modified Lévy Laplacians is studied. A...
-
R-matrix for the 8-Dimensional Spin Representation of \(U_{q}(\mathfrak{so}_{7})\)
The purpose of the paper is to describe the solution to the quantum Yang–Baxter equation associated with the 8-dimensional spin representation T sp of
... -
Real projective structures on Riemann surfaces and new hyper-Kähler manifolds
The twistor space of the moduli space of solutions of Hitchin’s self-duality equations can be identified with the Deligne-Hitchin moduli space of
... 
-
-
Tilting Modules and Exceptional Sequences for a Family of Dual Extension Algebras
We provide a classification of generalized tilting modules and full exceptional sequences for a certain family of quasi-hereditary algebras, namely...
-
Affine Hecke Algebra and q-Dunkl Operators (Overview)
In this chapter, we give an overview of the Macdonald–Cherednik theory of Macdonald polynomials based on the affine and double affine Hecke algebras,...
-
A First Course in Category Theory
This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for...
-
A simplified treatment of Ramana’s exact dual for semidefinite programming
In semidefinite programming the dual may fail to attain its optimal value and there could be a duality gap, i.e., the primal and dual optimal values...
-
Antinorms and Self-Polar Polyhedra
Antinorms (homogeneous concave functionals on a cone) have many applications in functional analysis, matrix theory, etc. Some duality theory...
-
Characterizations of Ordered Self-adjoint Operator Spaces
We describe how self-adjoint ordered operator spaces, also called non-unital operator systems in the literature, can be understood as
... 
-
-
Rigidity results for Riemannian twistor spaces under vanishing curvature conditions
In this paper, we provide new rigidity results for four-dimensional Riemannian manifolds and their twistor spaces. In particular, using the moving...