Results 11 to 20 of about 40,823 (186)
Diagonal Coinvariants and Double Affine Hecke Algebras [PDF]
, 2003 We establish a q-generalization of Gordon's theorem that the space of diagonal coinvariants has a quotient identified with a perfect representation of the rational double affine Hecke algebra.
Cherednik, Ivan
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article we prove a classification theorem (Main theorem) of real planar cubic vector fields which possess two distinct infinite singularities (real or complex) and eight invariant straight lines, including the line at infinity and including ...
Cristina Bujac, Nicolae Vulpe
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On algebraic supergroups, coadjoint orbits and their deformations [PDF]
, 2003 In this paper we study algebraic supergroups and their coadjoint orbits as affine algebraic supervarieties. We find an algebraic deformation quantization of them that can be related to the fuzzy spaces of non commutative geometry.Comment: 37 pages, AMS ...
Fioresi, R., Lledo, M. A.
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A conjecture on Exceptional Orthogonal Polynomials [PDF]
, 2012 Exceptional orthogonal polynomial systems (X-OPS) arise as eigenfunctions of Sturm-Liouville problems and generalize in this sense the classical families of Hermite, Laguerre and Jacobi. They also generalize the family of CPRS orthogonal polynomials.
A. González-López +42 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the article [C. Bujac, J. Llibre, N. Vulpe, Qual. Theory Dyn. Syst. 15(2016), 327–348] for the family of cubic differential systems with the maximum number of invariant straight lines, i.e.
Cristina Bujac, Nicolae Vulpe
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Whittaker limits of difference spherical functions [PDF]
, 2009 We introduce the (global) q-Whittaker function as the limit at t=0 of the q,t-spherical function extending the symmetric Macdonald polynomials to arbitrary eigenvalues. The construction heavily depends on the technique of the q-Gaussians developed by the
Cherednik, Ivan
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Exceptional knot homology [PDF]
, 2015 The goal of this article is twofold. First, we find a natural home for the double affine Hecke algebras (DAHA) in the physics of BPS states. Second, we introduce new invariants of torus knots and links called "hyperpolynomials" that address the "problem ...
Elliot, Ross, Gukov, Sergei
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Image Local Features Description Through Polynomial Approximation
IEEE Access, 2019 This work introduces a novel local patch descriptor that remains invariant under varying conditions of orientation, viewpoint, scale, and illumination.
Fawad +6 more
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Rational Parking Functions and LLT Polynomials [PDF]
, 2015 We prove that the combinatorial side of the "Rational Shuffle Conjecture" provides a Schur-positive symmetric polynomial. Furthermore, we prove that the contribution of a given rational Dyck path can be computed as a certain skew LLT polynomial, thus ...
Gorsky, Eugene, Mazin, Mikhail
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Functions dividing their Hessian determinants and affine spheres [PDF]
, 2016 The nonzero level sets of a homogeneous, logarithmically homogeneous, or translationally homogeneous function are affine spheres if and only if the Hessian determinant of the function is a multiple of a power or an exponential of the function.
Fox, Daniel J. F.
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