Results 51 to 60 of about 18,484 (234)
Singular Nonsymmetric Macdonald Polynomials and Quasistaircases [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 Singular nonsymmetric Macdonald polynomials are constructed by use of the representation theory of the Hecke algebras of the symmetric groups. These polynomials are labeled by quasistaircase partitions and are associated to special parameter values $(q,t)$. For $N$ variables, there are singular polynomials for any pair of positive integers $m$ and $n$,
Colmenarejo, Laura, Dunkl, Charles F.
openaire +3 more sources
Recursions and divisibility properties for combinatorial Macdonald polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Combinatorics
Nicholas A. Loehr, Elizabeth Niese
doaj +1 more source
Discrete Mathematics & Theoretical Computer Science, 2020 We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler.
James Haglund +2 more
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Deformed Kazhdan-Lusztig elements and Macdonald polynomials [PDF]
, 2010 We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation of a maximal parabolic subalgebra of the Hecke algebra.
de Gier, Jan +2 more
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An extension of MacMahon's Equidistribution Theorem to ordered multiset partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A classical result of MacMahon states that inversion number and major index have the same distribution over permutations of a given multiset. In this work we prove a strengthening of this theorem originally conjectured by Haglund.
Andrew Timothy Wilson
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A generalized Macdonald operator
, 2010 We present an explicit difference operator diagonalized by the Macdonald polynomials associated with an (arbitrary) admissible pair of irreducible reduced crystallographic root systems.
Baratta +14 more
core +1 more source
Criminology, EarlyView.Abstract Three‐quarters of US prisons offer vocational training programs, which aim to place trainees in middle‐skills jobs in specific occupational sectors post‐release. These middle‐skills jobs may more effectively reduce recidivism than the jobs that normally characterize the labor market experience of the formerly incarcerated, yet whether ...
Britte van Tiem
wiley +1 more source
Super-Hamiltonians for super-Macdonald polynomials
Physics Letters BThe Macdonald finite-difference Hamiltonian is lifted to a super-generalization. In addition to canonical bosonic time variables pk new Grassmann time variables θk are introduced, and the Hamiltonian is represented as a differential operator acting on a ...
Dmitry Galakhov +2 more
doaj +1 more source
Pieri rules for Schur functions in superspace [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace.
Miles Eli Jones, Luc Lapointe
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American Journal of Political Science, EarlyView.Abstract How can defense alliances reap the efficiency gains of working together when coordination and opportunism costs are high? Although specializing as part of a collective comes with economic and functional benefits, states must bargain over the distribution of those gains and ensure the costs of collective action are minimized.
J. Andrés Gannon
wiley +1 more source