Quantizations of Flag Manifolds and Conformal Space Time

DOI10.1142/S0129055X9700018XzbMath0888.17008MaRDI QIDQ4358859

Rita Fioresi

Publication date: 27 May 1998

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

flag manifoldMinkowski spacequantum groupsquantizationGrassmannianconformal groupPenrose model

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (10)

Quadratic deformation of Minkowski space ⋮ On Chiral Quantum Superspaces ⋮ Klein and conformal superspaces, split algebras and spinor orbits ⋮ The q-linked complex Minkowski space, its real forms and deformed isometry groups ⋮ Quantum twistors ⋮ Quantum coinvariant theory for the quantum special linear group and quantum Schubert varieties ⋮ A DEFORMATION OF THE BIG CELL INSIDE THE GRASSMANNIAN MANIFOLD G(r,n) ⋮ Quantum Klein space and superspace ⋮ The symplectic origin of conformal and Minkowski superspaces ⋮ Quantum deformation of the Grassmannian manifold

Cites Work

• Quantum deformation of flag schemes and Grassmann schemes. I: A \(q\)- deformation of the shape-algebra for \(GL(n)\)
• \(q\)-deformed Poincaré algebra
• On the quantum flag manifold

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