Affine flag varieties and quantum symmetric pairs /

The quantum groups of finite and affine type admit geometric realizations in terms of partial flag varieties of finite and affine type . Recently, the quantum group associated to partial flag varieties of finite type is shown to be a coideal subalgebra of the quantum group of finite type . In this p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fan, Zhaobing (Autor), Lai, Chun-Ju (Autor), Li, Yiqiang (Autor), Luo, Li (Autor), Wang, Weiqiang, 1970- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2020]
Colección:Memoirs of the American Mathematical Society ; no. 1285.
Temas:
Flag manifolds.
Affine algebraic groups.
Quantum groups.
Schur complement.
Kazhdan-Lusztig polynomials.
Algebra, Homological.
Variétés de drapeaux (Géométrie)
Groupes algébriques affines.
Groupes quantiques.
Complément de Schur.
Polynômes de Kazhdan-Lusztig.
Algèbre homologique.
Grupos lineales algebraicos
Grupos cuánticos
Affine algebraic groups
Algebra, Homological
Flag manifolds
Kazhdan-Lusztig polynomials
Quantum groups
Schur complement
Nonassociative rings and algebras > Lie algebras and Lie superalgebras {For Lie groups, see 22Exx} > Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 8.
Group theory and generalizations > Linear algebraic groups and related topics {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation the.
Algebraic geometry > (Colo.)homology theory [See also 13Dxx] > Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Constructions in affine type A
  • Lattice presentation of affine flag varieties of type C
  • Multiplication formulas for Chevalley generators
  • Coideal algebra type structures of Schur algebras and Lusztig algebras
  • Realization of the idempotented coideal subalgebra Uc/n of U(sln)
  • A second coideal subalgebra of quantum affine sln
  • More variants of coideal subalgebras of quantum affine sln
  • The stabilization algebra Kc/n arising from Schur algebras
  • Stabilization algebras arising from other Schur algebras.

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