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On Crossed Squares of Commutative Algebras

Mathematical Sciences and Applications E-Notes, 2020
In this work, we show a categorical property for crossed squares of commutative algebras by defining a specific object in this category and then we give the construction of the pullback with this object. ................................................................................................
Elis SOYLU YILMAZ, Koray YILMAZ
openaire   +3 more sources

Gluing affine Yangians with bi-fundamentals

Journal of High Energy Physics, 2020
The affine Yangian of gl 1 $$ {\mathfrak{gl}}_1 $$ is isomorphic to the universal enveloping algebra of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter
Wei Li
doaj   +1 more source

Sextonians and the magic square [PDF]

, 2004
Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and ...
Westbury, Bruce
core   +3 more sources

Symmetry algebras of stringy cosets

Journal of High Energy Physics, 2019
We find the symmetry algebras of cosets which are generalizations of the minimal-model cosets, of the specific form SU N k × SU N ℓ SU N k + ℓ $$ \frac{\mathrm{SU}{(N)}_k\times \mathrm{SU}{(N)}_{\mathrm{\ell}}}{\mathrm{SU}{(N)}_{k+\mathrm{\ell}}} $$ . We
Dushyant Kumar, Menika Sharma
doaj   +1 more source

On Superalgebras of Matrices with Symmetry Properties [PDF]

, 2016
It is known that semi-magic square matrices form a 2-graded algebra or superalgebra with the even and odd subspaces under centre-point reflection symmetry as the two components.
Hill, S. L., Lettington, M. C., Schmidt, K. M.   +2 more
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Isomorphism of Matrix Algebras over Cuntz Algebras [PDF]

ITM Web of Conferences
Starting with a Cuntz algebra On constructed by n isometries, we discuss a C*-algebra consisting of elements of a fixed size k square matrix, where the entries of matrix are from the Cuntz algebra 𝒪n.
Humam Afif, Lindiarni Janny, Gunadi Reinhart, Setya Budhi Wono   +3 more
doaj   +1 more source

A real seminorm with square property is submultiplicative [PDF]

, 2012
A seminorm with square property on a real associative algebra is submultiplicativeComment: 3 ...
Azhari, M. El
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On locally pseudoconvex square algebras [PDF]

Publicacions Matemàtiques, 1995
Let $A$ be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family $\Cal{Q}= \{q_\lambda |\lambda\in\Lambda\}$ of square preserving $r_\lambda$-homogeneous seminorms ($r_\lambda \in (0,1]$). We shall show that $(A,T(\Cal{Q}))$ is a locally m-convex algebra. Furthermore we shall show that $A$ is commutative.
openaire   +5 more sources

The three types of normal sequential effect algebras [PDF]

Quantum, 2020
A sequential effect algebra (SEA) is an effect algebra equipped with a $\textit{sequential product}$ operation modeled after the Lüders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C$^*$-algebras.
Abraham Westerbaan, Bas Westerbaan, John van de Wetering   +2 more
doaj   +1 more source

James bundles [PDF]

, 2003
We study cubical sets without degeneracies, which we call {square}-sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a {square}-set C has an infinite family of associated {square}-sets Ji(
Fenn, Roger, Rourke, C. P., Sanderson, B. J.   +2 more
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