Results 81 to 90 of about 68,753 (202)

Generalized Polarization Modules (extended abstract) [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
This work enrols the research line of M. Haiman on the Operator Theorem (the old operator conjecture). This theorem states that the smallest $\mathfrak{S}_n$-module closed under taking partial derivatives and closed under the action of polarization ...
Héctor Blandin
doaj   +1 more source

Relating Signed Kazhdan-Lusztig Polynomials and Classical Kazhdan-Lusztig Polynomials

open access: yes, 2012
Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration.
Yee, Wai Ling
core   +1 more source

Prime Numbers and Irreducible Polynomials [PDF]

open access: yesThe American Mathematical Monthly, 2002
(2002). Prime Numbers and Irreducible Polynomials. The American Mathematical Monthly: Vol. 109, No. 5, pp. 452-458.
openaire   +2 more sources

How we Simulate Nanoparticle‐on‐Mirror Cavity: A Primer Using Commercial Finite Element Method Sources

open access: yesAdvanced Photonics Research, Volume 7, Issue 5, May 2026.
Commercial finite element method solvers are distilled into a practical workflow for nanoparticle‐on‐mirror cavity simulations. Geometry construction, perfectly matched layer settings, adaptive meshing, convergence tests, mode identification, and spectral matching to single‐particle dark‐field data are integrated into a reproducible route that links ...
Jaewon Lee   +3 more
wiley   +1 more source

Quantum Analogs of Tensor Product Representations of su(1,1)

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
We study representations of U_q(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1).
Wolter Groenevelt
doaj   +1 more source

On the Factorization of Polynomials Over Discrete Valuation Domains

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
We study some factorization properties for univariate polynomials with coefficients in a discrete valuation domain (A,v). We use some properties of the Newton index of a polynomial F(X)=∑i=0daiXd-i∈ A[X] to deduce conditions on v(ai) that allow us to ...
Ştefănescu Doru
doaj   +1 more source

Countable Basis for Free Electromagnetic Fields

open access: yesAnnalen der Physik, Volume 538, Issue 5, May 2026.
ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
wiley   +1 more source

Fast Asymptotic Square Root for Two Types of Special Pentanomials

open access: yesIEEE Access, 2019
Inspired by the Montgomery and generalized polynomial basis (GPB) squaring operation, we introduce and study the notion of asymptotic square root over binary extension fields GF(2m).
Yu Zhang, Yin Li, Qing Chen
doaj   +1 more source

On bi-unitary perfect polynomials over $F_2$

open access: yes, 2018
We give all bi-unitary non splitting even perfect polynomials over the prime field of two elements, which are divisible by Mersenne irreducible polynomials raised to special exponents.
Rahavandrainy, Olivier
core  

Transformations on Irreducible Binary Polynomials

open access: yes, 2010
Using the natural action of GL2(F2) S3 over F2[X], one can define different classes of polynomials strongly analogous to selfreciprocal irreducible polynomials. We give transformations to construct polynomials of each kind of invariance and we deal with the question of explicit infinite sequences of invariant irreducible polynomials in F2[X].
Jean-Francis Michon, Philippe Ravache
openaire   +1 more source

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