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The Universal Askey-Wilson Algebra [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
doaj   +2 more sources

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

open access: yes, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob   +1 more
core   +5 more sources

Universal algebra

open access: yes, 1979
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other ...
Grätzer, George, George Grätzer
core   +2 more sources

On the universal enveloping algebra of a lie algebroid [PDF]

open access: yes, 2010
We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M resembles a Hopf algebra, and prove a Cartier-Milnor-Moore theorem for this type of ...
Mrcun, J.   +4 more
core   +2 more sources

ALGEBRAIC CONNECTIONS ON PARALLEL UNIVERSES [PDF]

open access: yesInternational Journal of Modern Physics A, 1995
For any manifold M we introduce a ℤ-graded differential algebra Ξ, which, in particular, is a bimodule over the associative algebra C(M⋃M). We then introduce the corresponding covariant differentials and show how this construction can be interpreted in terms of Yang-Mills and Higgs fields. This is a particular example of noncommutative geometry.
Coquereaux, R.   +2 more
openaire   +3 more sources

Universal enveloping of a graded Lie algebra [PDF]

open access: yes, 2023
In this paper we construct a graded universal enveloping algebra of a $G$-graded Lie algebra, where $G$ is not necessarily an abelian group. If the grading group is abelian, then it coincides with the classical construction.
Yasumura, Felipe Yukihide
core   +1 more source

Constraints and universal algebra

open access: yesAnnals of Mathematics and Artificial Intelligence, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P.G.Jeavons, D.A.Cohen, J.K.Pearson
openaire   +2 more sources

Representations of algebras as universal localizations [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2004
v2 (minor revision of v1).
Neeman, A, Ranicki, A, Schofield, AH
openaire   +6 more sources

Universal Algebra I policy, access, and inequality: Findings from a national survey

open access: yesEducation Policy Analysis Archives, 2017
Many in the US view algebra as a gatekeeper to advanced study of mathematics, and increasing enrollment in algebra courses as a strategy to address unequal access to educational opportunity.
Janine T. Remillard   +4 more
doaj   +1 more source

Cosets in universal algebra

open access: yesJournal of Algebra, 1987
Main result (Theorem 1.4): For a variety V the fact that for each \(A\in V\), each \(a\in A\) the natural mapping \(R\mapsto \{x\); \(\in R\}\) \(R\in Con A\) is a lattice homomorphism is equivalent to congruence permutability of V. The concept of a so called coset is a generalization of the concept of ideal in universal algebra.
AGLIANO', PAOLO, URSINI, ALDO
openaire   +2 more sources

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