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Weyl algebra

In abstract algebra, the Weyl algebras are abstracted from the ring of differential operators with polynomial coefficients. They are named after Hermann Weyl, who introduced them to study the Heisenberg uncertainty principle in quantum mechanics.

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Constructions

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Representation theory

Generalizations

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Weyl algebra

Nodes76
Edges75
Triples135
Avg. degree1.97
Density0.026316
Components1

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Weyl algebra

Top relations

related to References · 92
Weyl algebra → Ablamowicz, Albert, Algebra, Algebraic D-Modules, Applications, Automorphisms, Basel, Berest, BETWEEN CLASSICAL AND QUANTUM, Birkhäuse, Birkhäuser, Boston, Boudet, Business Media, Cambridge, Cambridge Philosophical Society, Cambridge University Press, Cannings, Clifford Algebras, Coutinho
related to Motivation · 9
Weyl algebra → Consider, Erwin Schrödinger, Here, Hilbert, In, Poisson, The, The Weyl, These
related to D-module · 8
Weyl algebra → Because, D-module, Grothendieck's, Locally, More, Specifically, The Weyl, Weyl
related to Positive characteristic · 6
Weyl algebra → As, Azumaya, Dp, In, The, Weyl
related to Zero characteristic · 6
Weyl algebra → Although, In, It, Noetherian, Sym, Weyl
related to Affine varieties · 4
Weyl algebra → Consider, Then, This, Weyl
is a · 3
Weyl algebra → example of a simple ring that is not a matrix ring over a division ring, quantization of the symmetric algebra, simple Noetherian domain
related to Generator · 3
Weyl algebra → Define, One, Weyl
related to Representation · 3
Weyl algebra → In, Schrödinger's, The Weyl
related to Constructions · 1
Weyl algebra → The Weyl

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Important terminology

displaystyle algebra weyl ring partial differential case operators representation generated field ideal algebras doi characteristic one delta zero quantization polynomial

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Weyl algebrais aexample of a simple ring that is not a matrix ring over a division ring0.90text
Weyl algebrais aquantization of the symmetric algebra0.90text
Weyl algebrais asimple Noetherian domain0.90text
Weyl algebrarelated to Affine varietiesWeyl0.60section
Weyl algebrarelated to Affine varietiesConsider0.60section
Weyl algebrarelated to Affine varietiesThen0.60section
Weyl algebrarelated to Affine varietiesThis0.60section
Weyl algebrarelated to ConstructionsThe Weyl0.60section
Weyl algebrarelated to D-moduleThe Weyl0.60section
Weyl algebrarelated to D-moduleD-module0.60section
Weyl algebrarelated to D-moduleSpecifically0.60section
Weyl algebrarelated to D-moduleWeyl0.60section

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