Results 11 to 20 of about 19,954 (141)

The Bell states in noncommutative algebraic geometry [PDF]

, 2014
We introduce new mathematical aspects of the Bell states using matrix factorizations, nonnoetherian singularities, and noncommutative blowups. A matrix factorization of a polynomial $p$ consists of two matrices $\phi_1,\phi_2$ such that $\phi_1\phi_2 ...
Charlie Beil, Einstein A., Goodearl K., Leuschke G.   +3 more
core   +3 more sources

Deformation Quantization of Coadjoint Orbits [PDF]

, 2000
A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. It is based on the algebraic structure of the orbit.
Cahen M., M. A. LIEDÓ, Varadarajan V. S.   +2 more
core   +3 more sources

Noncommutative real algebraic geometry of Kazhdan's property (T) [PDF]

, 2015
It is well-known that a finitely generated group $\Gamma$ has Kazhdan's property (T) if and only if the Laplacian element $\Delta$ in ${\mathbb R}[\Gamma]$ has a spectral gap.
Ozawa, Narutaka
core   +3 more sources

Examples of noncommutative manifolds: complex tori and spherical manifolds

, 2007
We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
core   +2 more sources

Reverse geometric engineering of singularities [PDF]

, 2002
One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories.
B. Feng, B. Feng, C.E. Beasley, D. Berenstein, D. Berenstein, D. Berenstein, David Berenstein, F. Cachazo, I.R. Klebanov, K. Dasgupta, K. Dasgupta, K.-h. Oh, M.R. Douglas, M.R. Douglas, M.R. Douglas, M.R. Douglas, N. Seiberg, R.C. Myers, S. Katz   +18 more
core   +2 more sources

Crystals, instantons and quantum toric geometry

, 2011
We describe the statistical mechanics of a melting crystal in three dimensions and its relation to a diverse range of models arising in combinatorics, algebraic geometry, integrable systems, low-dimensional gauge theories, topological string theory and ...
Szabo, Richard J.
core   +1 more source

Deformation quantization of principal bundles [PDF]

, 2016
We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles, and more in general to the deformation of Hopf-Galois extensions.
Aschieri, Paolo
core   +2 more sources

Structural Properties of The Clifford–Weyl Algebra ${𝒜}_q^{\pm }$

Mathematics
The Clifford–Weyl algebra 𝒜q±, as a class of solvable polynomial algebras, combines the anti-commutation relations of Clifford algebras 𝒜q+ with the differential operator structure of Weyl algebras 𝒜q−. It exhibits rich algebraic and geometric properties.
Jia Zhang, Gulshadam Yunus
doaj   +1 more source

Invariant noncommutative connections

, 2004
In this paper we classify invariant noncommutative connections in the framework of the algebra of endomorphisms of a complex vector bundle. It has been proven previously that this noncommutative algebra generalizes in a natural way the ordinary geometry ...
Masson, Thierry, Serie, Emmanuel
core   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source