A quantum groups primer /

Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Majid, Shahn
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2002.
Colección:London Mathematical Society lecture note series ; 292.
Temas:
Quantum groups.
Groupes quantiques.
SCIENCE > Waves & Wave Mechanics.
Quantum groups
Quantengruppe
Groepen (wiskunde)
Kwantumgroepen.
Álgebras de lie.
Grupos quânticos.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Coalgebras, bialgebras and Hopf algebras. Uq(b+)
  • Dual pairing. SLq(2). Actions
  • Coactions. Quantum plane A2q
  • Automorphism quantum groups
  • Quasitriangular structures
  • Roots of Unity. uq(sl2)
  • q-Binomials
  • Quantum double. Dual-quasitriangular structures
  • Braided categories
  • (Co)module categories. Crossed modules
  • q-Hecke algebras
  • Rigid objects. Dual representations. Quantum dimension
  • Knot invariants
  • Hopf algebras in braided categories
  • Braided differentiation
  • Bosonisation. Inhomogeneous quantum groups
  • Double bosonisation. Diagrammatic construction of uq(sl2)
  • The braided group Uq(n- ). Construction of Uq(g)
  • q-Serre relations
  • R-matrix methods
  • Group algebra, Hopf algebra factorisations. Bicrossproducts
  • Lie bialgebras. Lie splittings. Iwasawa decomposition
  • Poisson geometry. Noncommutative bundles. q-Sphere
  • Connections. q-Monopole. Nonuniversal differentials.

Ejemplares similares