Results 41 to 50 of about 94,278 (205)

Corecursive Algebras, Corecursive Monads and Bloom Monads [PDF]

Logical Methods in Computer Science, 2014
An algebra is called corecursive if from every coalgebra a unique coalgebra-to-algebra homomorphism exists into it. We prove that free corecursive algebras are obtained as coproducts of the terminal coalgebra (considered as an algebra) and free algebras.
Jiří Adámek, Mahdie Haddadi, Stefan Milius   +2 more
doaj   +1 more source

On the Torelli Lie algebra

Forum of Mathematics, Pi, 2023
We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations ...
Alexander Kupers, Oscar Randal-Williams
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

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

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
core   +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

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +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

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