Results 51 to 60 of about 12,517 (163)

Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications.
Ion C. Baianu   +2 more
doaj   +1 more source

Topological coordination numbers and coordination reciprocity from electron‐density distributions

open access: yesActa Crystallographica Section A, Volume 81, Issue 3, Page 221-244, May 2025.
An approach is presented to calculate topological coordination numbers (tCNs) obeying the principle of coordination reciprocity from solid angles subtended by the interatomic surfaces of electron density (QTAIM) atomic domains. The tCN approach characterizes a compound's coordination situation as a set of sub‐coordination scenarios with associated ...
Frank R. Wagner   +2 more
wiley   +1 more source

Crossed Products for Weak Hopf Algebras

open access: yesCommunications in Algebra, 2009
Weak crossed products by a weak bialgebra are de ned. The resulting structure is not that of a unital algebra but an associative algebra with preunit. A general formula of such a product is given in terms of a weak 2-cocycle and a weak measuring. The relation with weak cleft extensions is studied.
openaire   +2 more sources

Equality of skew Schur functions in noncommuting variables

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1415-1428, May 2025.
Abstract The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li, and van Willigenburg introduced skew Schur functions in noncommuting variables, s(δ,D)$s_{(\delta,\mathcal {D})}$, where D$\mathcal {D}$ is a connected skew diagram with n$n ...
Emma Yu Jin, Stephanie van Willigenburg
wiley   +1 more source

The three limits of the hydrostatic approximation

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract The primitive equations are derived from the 3D Navier–Stokes equations by the hydrostatic approximation. Formally, assuming an ε$\varepsilon$‐thin domain and anisotropic viscosities with vertical viscosity νz=O(εγ)$\nu _z=\mathcal {O}(\varepsilon ^\gamma)$ where γ=2$\gamma =2$, one obtains the primitive equations with full viscosity as ε→0 ...
Ken Furukawa   +5 more
wiley   +1 more source

Kaplansky's Type Constructions for Weak Bialgebras and Weak Hopf Algebras [PDF]

open access: yesJournal of Generalized Lie Theory and Applications, 2015
In this paper, we study weak bialgebras and weak Hopf algebras. These algebras form a class wider than bialgebras respectively Hopf algebras. The main results of this paper are Kaplansky’s type constructions which lead to weak bialgebras or weak Hopf algebras starting from a regular algebra or a bialgebra.
Chebel, Zoheir, Makhlouf, Abdenacer
openaire   +3 more sources

Averaging multipliers on locally compact quantum groups

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws   +2 more
wiley   +1 more source

Representation theory of solitons

open access: yesJournal of High Energy Physics
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova   +2 more
doaj   +1 more source

On the parameterized Tate construction

open access: yesJournal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

Double Copy From Tensor Products of Metric BV■‐Algebras

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten   +5 more
wiley   +1 more source

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