Results 41 to 50 of about 94,503 (201)

Hom-structures on semi-simple Lie algebras

Open Mathematics, 2015
A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
doaj   +1 more source

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants

, 1994
We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson invariants.Comment: 19 ...
Atiyah, Baulieu, Becchi, Birmingham, Cartan, Donaldson, Dubois-Violette, Dubois-Violette, Dubois-Violette, Greub, Kalkman, Michel Dubois-Violette, Ouvry, Weil, Witten   +14 more
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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

T-IDEAL AND α-IDEAL OF BP-ALGEBRAS

Barekeng
This paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and ...
Sri Gemawati, Musraini M, Ayunda Putri, Rike Marjulisa, Elsi Fitria   +4 more
doaj   +1 more source

$\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS [PDF]

Journal of Algebraic Systems, 2020
In this paper we define $\varphi$-Connes module amenability of a dual Banach algebra $\mathcal{A}$ where $\varphi$ is a bounded $w_{k^*}$-module homomorphism from $\mathcal{A}$ to $\mathcal{A}$.
A. Ghaffari, S. Javadi Syahkale, E. Tamimi   +2 more
doaj   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

e-Subalgebras and e-Homomorphisms of PGK2-Algebras

Journal of Mathematics
This paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De
Abd El-Mohsen Badawy, Essam El-Seidy, Mohiedeen Ahmed, Ahmed Gaber   +3 more
doaj   +1 more source

The relative dihedral homology of involutive algebras

International Journal of Mathematics and Mathematical Sciences, 1999
Let f:A→B be a homomorphism of involutive algebras A,B. The purpose of this paper is to define a free involutive algebra resolution of algebra B over f and use it to define and study the relative dihedral homology.
Y. Gh. Gouda
doaj   +1 more source

On irreducibility of tensor products of evaluation modules for the quantum affine algebra

, 2003
Every irreducible finite-dimensional representation of the quantized enveloping algebra U_q(gl_n) can be extended to the corresponding quantum affine algebra via the evaluation homomorphism.
A I Molev, Akasaka T, Chari V, Chari V, Cherednik I V, Drinfeld V G, Frenkel E, Humphreys J E, Jimbo M, Jimbo M, Kashiwara M, Leclerc B, Molev A, Molev A I, Molev A I, Molev A I, Nazarov M, Nazarov M, Nazarov M, Nazarov M, R B Zhang, Reshetikhin N Yu, Tolstoy V N, Ueno K, V N Tolstoy, Varagnolo M   +25 more
core   +1 more source