Results 61 to 70 of about 336 (128)

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg, Erich L. Kaltofen, Buchberger, Bruno, Rosenkranz, Markus, Tec, Loredana   +4 more
core   +1 more source

On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley   +1 more source

Noncommutative Bessel symmetric functions

, 2006
The consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
Novelli, Jean-Christophe, Thibon, Jean-Yves   +1 more
openaire   +2 more sources

The Explicit Form of the Unitary Representation of the Poincaré Group for Vector-Valued Wave Functions (Massive and Massless), with Applications to Photon Localization and Position Operators

Mathematics
We geometrically derive the explicit form of the unitary representation of the Poincaré group for vector-valued wave functions and use it to apply speed-of-light boosts to a simple polarization basis to end up with a Hawton–Baylis photon position ...
Arkadiusz Jadczyk
doaj   +1 more source

Jordan homomorphisms and T‐ideals

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley   +1 more source

On the Hopf Algebra of Noncommutative Symmetric Functions in Superspace

The Electronic Journal of Combinatorics
We study the combinatorial Hopf algebra of noncommutative symmetric functions in superspace sNSym, introduced by Fishel, Lapointe and Pinto. We introduce a family of primitive elements of sNSym and extend the noncommutative elementary and power sum functions to superspace. Then, we give formulas relating these families of functions.
Diego Arcis, Camilo González, Sebastián Márquez   +2 more
openaire   +2 more sources

Supercharacters, symmetric functions in noncommuting variables (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables. Each is a Hopf algebra and the two are isomorphic as such.
Aguiar, Marcelo, André, Carlos, Benedetti, Carolina, Bergeron, Nantel, Chen, Zhi, Diaconis, Persi, Hendrickson, Anders, Hsiao, Samuel, Isaacs, I. Martin, Jedwab, Andrea, Johnson, Kenneth, Karaali, Gizem, Lauve, Aaron, Le, Tung, Lewis, Stephen, Li, Huilan, Magaard, Kay, Marberg, Eric, Novelli, Jean-Christophe, Pang, Amy, Saliola, Franco, Tevlin, Lenny, Thibon, Jean-Yves, Thiem, Nathaniel, Venkateswaran, Vidya, Vinroot, C. Ryan, Yan, Ning, Zabrocki, Mike   +27 more
openaire   +4 more sources

FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm

IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan, Noura H. Elshabasy, Eyad Mamdouh, Remas Osama, Mohamed A. Abd El Ghany, Dina El-Damak, Jim Harkin   +6 more
wiley   +1 more source

Noncommutative irreducible characters of the symmetric group and noncommutative Schur functions [PDF]

Journal of Combinatorics, 2013
10 pages. Final version to appear in Journal of Combinatorics. The combinatorics of Young composition tableaux is discussed further in "An introduction to quasisymmetric Schur functions - Hopf algebras, quasisymmetric functions, and Young composition tableaux" K. Luoto, S. Mykytiuk and S. van Willigenburg, Springer (2013)
openaire   +2 more sources

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source