Results 41 to 50 of about 8,246 (157)

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Yang-Mills action from minimally coupled bosons on R^4 and on the 4D Moyal plane

, 2004
We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum effective action of this system.
Connes A., Cornelius Paufler, DeWitt B. S., Elizalde E., Fetter A. L., Juha Loikkanen, Peskin M. E., Shubin M. A.   +7 more
core   +1 more source

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

Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables

, 2005
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions which was recently studied as a vector space by Rosas and Sagan. The bases for this algebra are indexed by set partitions. We show that there exist a natural
Bergman, Christophe Reutenauer, Comtet, Macdonald, Mercedes Rosas, Mike Zabrocki, Muir, Nantel Bergeron, Poirier, Reutenauer, Rosas, Sagan, Sweedler, Thibon   +13 more
core   +2 more sources

Attribute Implication Bases From Galois Connection Structures

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.
ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo, Jesús Medina, Francisco José Ocaña   +2 more
wiley   +1 more source

Noncommutative BTZ Black Hole and Discrete Time [PDF]

, 2006
We search for all Poisson brackets for the BTZ black hole which are consistent with the geometry of the commutative solution and are of lowest order in the embedding coordinates.
Dolan, B. P., Gupta, Kumar S., Stern, A.
core   +3 more sources

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Finite group discretization of Yang-Mills and Einstein actions [PDF]

, 2001
Discrete versions of the Yang-Mills and Einstein actions are proposed for any finite group. These actions are invariant respectively under local gauge transformations, and under the analogues of Lorentz and general coordinate transformations.
Aschieri, Aschieri, Aschieri, Bresser, Castellani, Castellani, Castellani, Castellani, Chiara Pagani, Chu, Chu, Dimakis, Dimakis, Gibbons, Gracia-Bondia, Green, Leonardo Castellani, Loll, Majid, Randall, Regge, Schomerus, Seiberg, Woronowicz   +23 more
core   +3 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

Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles

, 2006
We write down scalar field theory and gauge theory on two-dimensional noncommutative spaces ${\cal M}$ with nonvanishing curvature and non-constant non-commutativity.
A. Stern, Alexanian, Asakawa, Aschieri, Aschieri, Baez, Balachandran, Balachandran, Balachandran, Balachandran, Banados, Barnich, Behr, Berard, Brace, Brace, Cacciatori, Fakhri, Fosco, Gayral, Grimstrup, Grimstrup, Grosse, Grosse, Horvathy, Iso, Jayewardena, Jurco, Jurco, Karabali, Klimcik, Kontsevich, Lizzi, Lizzi, Lizzi, Madore, Man'ko, Morariu, Pinzul, Pinzul, Pinzul, Pinzul, Pinzul, Presnajder, Presnajder, Seiberg, Steinacker   +46 more
core   +3 more sources