Results 61 to 70 of about 3,007,169 (162)

ON SOME NONCOMMUTATIVE SYMMETRIC FUNCTIONS ANALOGOUS TO HALL–LITTLEWOOD AND MACDONALD POLYNOMIALS [PDF]

International Journal of Algebra and Computation, 2013
We investigate the connections between various noncommutative analogues of Hall–Littlewood and Macdonald polynomials, and define some new families of noncommutative symmetric functions depending on two sequences of parameters.
Novelli, Jean-Christophe, Tevlin, Lenny, Thibon, Jean-Yves   +2 more
openaire   +4 more sources

Negativity‐preserving transforms of tuples of symmetric matrices

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent advances in matrix analysis with some novel arguments relying on well‐chosen test matrices, Sidon ...
Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar   +3 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

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

A Noncommutative Chromatic Symmetric Function

, 1999
33 ...
Gebhard, David D., Sagan, Bruce E.
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

Intermediate‐Temperature Specific Heat of Solids and the Rationale Behind the Maier–Kelley Empirical Formula

physica status solidi (b), Volume 263, Issue 2, February 2026.
We develop a basic‐principles model from an analytically tractable semi‐harmonic Hamiltonian and compare our predictions with experimental data for Cu, Al, Pb, Si, and Ge. The results are quite satisfactory, considering that there are no fitting parameters in our theory.
Valmir Ribeiro, Fernando Parisio
wiley   +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

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

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