Results 41 to 50 of about 111,956 (116)

Levels and sublevels of composition algebras [PDF]

, 2007
Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
core   +1 more source

Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]

Order (Dordr), 2023
Couceiro M, Duffus D.
europepmc   +1 more source

Representations of finitary Lie algebras

Journal of Algebra, 2002
For \(F\) an algebraically closed field of characteristic \(\not= 2, 3\) and \(W\) an infinite-dimensional \(F\)-vector space a Lie subalgebra \(L\) of \(\mathfrak{gl}(W)\) all of whose elements have finite rank is said to be finnitary. Finitary Lie algebras \(L\) with \(\text{nil}_W L = (0)\), where \(\text{nil}_W L\) is the maximal ideal of \(L ...
openaire   +1 more source

Free finitary algebras on compactly generated spaces [PDF]

Bulletin of the Australian Mathematical Society, 1981
An explicit colimit formula is used to describe the free k-space algebra on a given k-space for any k-enriched finitary theory. A question, raised and solved affirmatively by several authors, has been that of whether the free k-space group on a weakly hausdorff k-space is again weakly hausdorff and admits a closed embedding of the generators.
openaire   +2 more sources

Auslander algebras as quasi-hereditary algebras [PDF]

, 1989
Dlab V, Ringel CM. Auslander algebras as quasi-hereditary algebras. Journal of the London Mathematical Society : Ser. 2.
Dlab, Vlastimil, Ringel, Claus Michael
core  

Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras [PDF]

, 2008
We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
core   +1 more source

A Koszul category of representations of finitary Lie algebras

Advances in Mathematics, 2016
We find for each simple finitary Lie algebra $\mathfrak{g}$ a category $\mathbb{T}_\mathfrak{g}$ of integrable modules in which the tensor product of copies of the natural and conatural modules are injective. The objects in $\mathbb{T}_\mathfrak{g}$ can be defined as the finite length absolute weight modules, where by absolute weight module we mean a ...
Dan-Cohen, Elizabeth, Penkov, Ivan, Serganova, Vera   +2 more
openaire   +3 more sources

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +1 more source

Comment on 'Quantum correlations are weaved by the spinors of the Euclidean primitives'. [PDF]

R Soc Open Sci, 2022
Gill RD.
europepmc   +1 more source

Sifted colimits, strongly finitary monads and continuous algebras

Theory and Applications of Categories
We characterize strongly finitary monads on categories $\mathsf{Pos}$, $\mathsf{CPO}$ and $\mathsf{DCPO}$ as precisely those preserving sifted colimits. Or, equivalently, enriched finitary monads preserving reflexive coinserters. We study sifted colimits in general enriched categories. For $\mathsf{CPO}$ and $\mathsf{DCPO}$ we characterize varieties of
Adámek, Jiří, Dostál, Matěj, Velebil, Jiří   +2 more
openaire   +3 more sources