Results 31 to 40 of about 122,674 (274)
Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras [PDF]
In this paper, by establishing free-probabilistic models on the Hecke algebras \(\mathcal{H}\left(GL_{2}(\mathbb{Q}_{p})\right)\) induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\), we construct free probability spaces for all primes \(p\).
Ilwoo Cho
doaj +1 more source
Decoherence-free algebra [PDF]
We consider the decoherence free subalgebra which satisfies the minimal condition introduced by Alicki. We show the manifest form of it and relate the subalgebra with the Kraus representation. The arguments also provides a new proof for generalized L ders theorem.
openaire +2 more sources
Correspondences among CFTs with different W-algebra symmetry
W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra g and an sl(2)-embedding into g. We derive correspondences among correlation functions of theories having different W-algebras as symmetry algebras.
Thomas Creutzig +3 more
doaj +1 more source
Further results on elementary Lie algebras and Lie A-algebras. [PDF]
A finite-dimensional Lie algebra L over a field F of characteristic zero is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. This paper is a continuation of the study of
Towers, David A., Varea, Vicente R.
core +8 more sources
This note was originated many years ago as my reaction to questions of several people how free strongly homotopy algebras can be described and what can be said about the structure of the universal enveloping A(m)-algebra of an L(m)-algebra, and then circulated as a "personal communication." I must honestly admit that it contains no really deep result ...
openaire +5 more sources
Finitely generated free Heyting algebras via Birkhoff duality and coalgebra [PDF]
Algebras axiomatized entirely by rank 1 axioms are algebras for a functor and thus the free algebras can be obtained by a direct limit process. Dually, the final coalgebras can be obtained by an inverse limit process.
Nick Bezhanishvili, Mai Gehrke
doaj +1 more source
Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
openaire +4 more sources
A monadic (Boolean) algebra is a Boolean algebra A together with an operator 3 on A (called an existential quantifier, or, simply, a quantifier) such that 30=0, pfk 3p, and 3(^A 3q) = 3p* 3g whenever p and q are in A. Most of this note uses nothing more profound about monadic algebras than the definition. The reader interested in the motivation for and
openaire +2 more sources
SATURATED FREE ALGEBRAS REVISITED [PDF]
AbstractWe give an exposition of results of Baldwin–Shelah [2] on saturated free algebras, at the level of generality of complete first order theoriesTwith a saturated modelMwhich is in the algebraic closure of an indiscernible set. We then make some new observations whenM isa saturated free algebra, analogous to (more difficult) results for the free ...
Pillay, Anand, Sklinos, Rizos
openaire +3 more sources
Novel Free Differential Algebras for Supergravity
We develop the theory of Free Integro-Differential Algebras (FIDA) extending the powerful technique of Free Differential Algebras constructed by D. Sullivan. We extend the analysis beyond the superforms to integral- and pseudo-forms used in supergeometry.
Pietro Antonio Grassi
doaj +1 more source

