Results 71 to 80 of about 121,182 (204)
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, Volume 113, Issue 1, Page 38-56, September 2026.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
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Integrability criterion for abelian extensions of Lie groups [PDF]
Proceedings of the American Mathematical Society, 2010 We establish a criterion for when an abelian extension of infinite-dimensional Lie algebras g
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Carrollian partition function for bulk Yang-Mills theory
Journal of High Energy PhysicsThe path integral over massless quantum fields in Minkowski space with scattering boundary conditions defines a Carrollian partition function on the null boundary.
Per Kraus, Richard M. Myers
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Approximate dual representation for Yang–Mills SU(2) gauge theory
European Physical Journal C: Particles and Fields, 2018 An approximate dual representation for non-Abelian lattice gauge theories in terms of a new set of dynamical variables, the plaquette occupation numbers (PONs) that are natural numbers, is discussed.
R. Leme, O. Oliveira, G. Krein
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Aggregation and the Structure of Value
Noûs, Volume 60, Issue 3, Page 619-644, September 2026.ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
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Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
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From Algebro Geometric Solutions of the Toda Equation to Sato Formulas
AppliedMathWe know that the degeneracy of solutions to PDEs, given in terms of theta functions on Riemann surfaces, provides important results about particular solutions, as in the case of the NLS equation.
Pierre Gaillard
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Advances in Mathematical Physics, 2018 We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions.
S. V. Bolokhov, V. D. Ivashchuk
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Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
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Petrov modules and zeros of Abelian integrals
Bulletin des Sciences Mathématiques, 1998 The main results in this paper are the following theorems. Theorem 1.1: Let \(f\in \mathbb{C}[x,y]\) be a semiweighted homogeneous polynomial of type \((w_x,w_y;d)\). The \(\mathbb{C}[t]\) module \({\mathcal P}_f\) (Petrov module) is free and finitely generated by \(\mu\) one-forms \(w_1, \dots,w_\mu\), where \(\mu =(d-w_x) (d-w_y)/w_xw_y\).
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