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Hamiltonian algebroids
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"Hamiltonian algebroids" is owned by bci1.
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See Also: Hamiltonian operator, Jordan-Banach and Jordan-Lie algebras, Lie bracket, Lie algebroids, quantum gravity theories, algebroid structures and extended symmetries, R-category, R-algebroid
| Other names: |
quantum algebroid |
| Also defines: |
Hamiltonian algebroid, Jordan algebra, Poisson algebra |
| Keywords: |
extended quantum algebroid symmetry, Hamiltonian algebroid of a quantum system, generalizations of Lie algebras of canonical transformations, Poisson sigma model phase space, Relativistic Quantum Gravity |
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Cross-references: structure, identity, associator, Jacobi identity, Leibniz rule, Poisson bracket, product, isomorphism, automorphism, types of morphisms, algebraic, multiplication, distributive, bilinear, ground field, algebra, associative, smooth functions, vector space, real, cotangent bundle, configuration space, Lie bracket, commutator, functions, operators, smooth manifold, vector fields, Lie algebroids, canonical transformations, Lie algebras
There are 8 references to this entry.
This is version 39 of Hamiltonian algebroids, born on 2008-07-18, modified 2009-06-20.
Object id is 10815, canonical name is HamiltonianAlgebroids.
Accessed 1529 times total.
Classification:
| AMS MSC: | 81R50 (Quantum theory :: Groups and algebras in quantum theory :: Quantum groups and related algebraic methods) | | | 81R05 (Quantum theory :: Groups and algebras in quantum theory :: Finite-dimensional groups and algebras motivated by physics and their representations) | | | 81R10 (Quantum theory :: Groups and algebras in quantum theory :: Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current alg) | | | 81R15 (Quantum theory :: Groups and algebras in quantum theory :: Operator algebra methods) | | | 81P05 (Quantum theory :: Axiomatics, foundations, philosophy :: General and philosophical) |
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Pending Errata and Addenda
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