Results 71 to 80 of about 18,223 (230)
, 1991 We establish a previously conjectured connection between $p$-adics and quantum groups. We find in Sklyanin's two parameter elliptic quantum algebra and its generalizations, the conceptual basis for the Macdonald polynomials, which ``interpolate'' between
A. Weil +38 more
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Journal of Economics &Management Strategy, EarlyView.ABSTRACT In hit‐driven industries, product development is associated with a right‐skewed unconditional distribution of performance, and products in the right tail have outsized impacts. Understanding how exceptional performance is generated can improve resource allocation, but the literature advances two different narratives: one emphasizes postrelease
Darren Filson
wiley +1 more source
Double Macdonald polynomials as the stable limit of Macdonald superpolynomials [PDF]
Journal of Algebraic Combinatorics, 2014 40 pages; v2: title and abstract changed; minor modifications in the ...
Olivier Blondeau-Fournier +2 more
openaire +2 more sources
Orthogonal Polynomials of Compact Simple Lie Groups
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
doaj +1 more source
Journal of Applied Entomology, EarlyView.ABSTRACT Pest management in horticultural crops must become more efficient, capitalising on non‐chemical means of pest reduction. In mango (Mangifera Indica), the development of highly productive orchard and canopy management systems offers a potential means to reduce pressure and damage from economically important pests such as mango scale (Aulacaspis
Cheesman Jodie +4 more
wiley +1 more source
Orthogonality of Macdonald polynomials with unitary parameters [PDF]
Mathematische Zeitschrift, 2013 For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.
Van Diejen, Jan Felipe, Emsiz, Erdal
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Clustering properties of rectangular Macdonald polynomials [PDF]
, 2012 The clustering properties of Jack polynomials are relevant in the theoretical study of the fractional Hall states. In this context, some factorization properties have been conjectured for the $(q,t)$-deformed problem involving Macdonald polynomials.
Dunkl, Charles F., Luque, Jean-Gabriel
core +1 more source
Centrality of star and monotone factorisations
Bulletin of the London Mathematical Society, EarlyView.Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
wiley +1 more source
Macdonald’s polynomials and representations of quantum groups [PDF]
Mathematical Research Letters, 1994 In this paper we present a formula for Macdonald's polynomials for the root system A(n-1) which arises from the representation theory of quantum sl(n). This formula expresses Macdonald's polynomials via (weighted) traces of intertwining operators between certain modules over quantum sl(n).
Pavel Etingof, Alexander Kirillov
openaire +4 more sources
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald polynomials, both represent ...
Michael J. Schlosser
doaj