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topic: groupoid symmetry and duality (Topic)

Symmetry groups, groupoids, algebras and duality

This is a new topic by multiple contributors of substantial interest to both mathematicians and mathematical physicists or theoreticians. Any significant content additions are welcome. The following list is open to additions and expansion
  1. Symmetry and groups
  2. Galois groups and Galois theory
  3. Symmetry and groupoids: internal and external symmetry
  4. Galois groupoids
  5. Fundamental groupoid functor
  6. Extensions of Galois theory
  7. Tanaka-Krein duality
  8. Grothendieck extension of Tanaka-Krein duality to non-Abelian groups
  9. Fourier duality
  10. Quantum groups
  11. Bravais lattices and their symmetry groups
  12. Group representations
  13. Matrices and symmetry
  14. Classification of groups and algebras
  15. `Broken symmetries' in mathematical physics
  16. Classical symmetries
  17. Quantum symmetry and quantum groups
  18. Extended symmetry and quantum groupoids
  19. Differential equations and symmetry
  20. Symmetry and duality
  21. Groups and their dual algebras
  22. Symmetry, logic and categorical logics
  23. Symmetry resources: books, web links, conference announcement links, images, and so on
  24. The algebraic dual of the non-Abelian isospin group $SU(2)$
  25. SM theory groups, $U(1), SU(2), SU(3),...$
  26. Spinors and symmetry
  27. Symmetry in quantum gravity and general relativity



"topic: groupoid symmetry and duality" is owned by bci1.
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See Also: quantum groups, quantum groupoids, weak Hopf C*-algebra

Keywords:  topic, symmetry, extended symmetry, quantum groups and groupoids, broken symmetry, extended symmetry, Galois group
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Cross-references: quantum gravity, spinors, theory, non-Abelian, algebraic dual, images, links, categorical, logic, dual algebras, differential equations, quantum groupoids, algebras, matrices, group representations, quantum groups, non-abelian groups, duality, extensions, fundamental groupoid functor, groupoids, Galois theory, Galois groups, groups, symmetry, open, additions, multiple

This is version 13 of topic: groupoid symmetry and duality, born on 2008-10-03, modified 2009-02-01.
Object id is 11127, canonical name is GroupsTopicOnSymmetry.
Accessed 281 times total.

Classification:
AMS MSC: 22A22 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Topological groupoids )
 18-00 (Category theory; homological algebra :: General reference works )
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