Results 41 to 50 of about 96 (75)
Limits of cubic differentials and buildings
Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin +2 more
wiley +1 more source
Multivariate representations of univariate marked Hawkes processes
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
wiley +1 more source
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
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 +3 more
wiley +1 more source
Cálculo differencial no conmmutativo de algunas álgebras de tipo polinomial con bases PBW
In this work, we study the notion of differential calculus associated to an associative algebra, from its origin in manifolds geometry, to some generalizations in non commutative differential geometry.
Sarmiento Santiago, Cristian David
core +1 more source
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
Distributivity versus associativity in the homology theory of algebraic structures
While homology theory of associative structures, such as groups and rings, has been extensively studied in the past beginning with the work of Hopf, Eilenberg, and Hochschild, homology of non-associative distributive structures, such as quandles, were ...
Józef H. Przytycki
core +1 more source
Graduaciones elementales sobre el álgebra de Lie de matrices triangulares superiores [PDF]
Este trabajo se enfoca en el álgebra de Lie UTn(K)(−), es decir, las matrices triangulares superiores de orden n con el producto de Lie. Se describe la graduación elemental sobre el álgebra de Lie UTn(K)(−) y se presenta la graduación canónica por el ...
Vélez Bermúdez, Sergio Alejandro
core
Construct bi-frobenius algebras via the Benson-Carlson quotient rings
Let H be a finite dimensional spherical Hopf algebra, r(H) the Green ring of H and P the ideal of r(H) generated by all H-modules of quantum dimension zero. Using dimensions of negligible morphism spaces, we define a bilinear form on the Green ring r(H).
Li, Libin, WANG, Zhihua, ZHANG, Yinhuo
core +1 more source
Nem kommutatív Galois elmélet = Non-commutative Galois theory [PDF]
(0) Összefoglaló fejezetet írtam Hopf algebroidokról a ""Handbook of Algebra"" számára. (1) C. Meninivel a nem kommutatív torsorok kategóriaelméleti tárgyalását adtuk. Igazoltuk a szimmetriát leíró két komonád Morita-Takeuchi ekvivalenciáját.
Böhm, Gabriella Eszter
core +1 more source
$L$-infinity and $A$-infinity structures [PDF]
summary:Looking back over 55 years of higher homotopy structures, I reminisce as I recall the early days and ponder how they developed and how I now see them. From the history of $A_\infty$-structures and later of $L_\infty$-structures and their progeny,
Stasheff, Jim
core +1 more source

