Affine flag varieties and quantum symmetric pairs. II: Multiplication formula

DOI10.1016/J.JPAA.2019.01.011zbMath1455.17015arXiv1701.06348OpenAlexW2581712442MaRDI QIDQ2001395

Zhaobing Fan, Yiqiang Li

Publication date: 3 July 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06348

zbMATH Keywords

affine flag varietycoideal subalgebracanonical basisconvolution algebramultiplication formulaquantum affine \(\mathfrak{gl}_n\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Linear algebraic groups over local fields and their integers (20G25)

Related Items (3)

Affine flag varieties and quantum symmetric pairs ⋮ Representations of twisted Yangians of types B, C, D. II ⋮ Affine Hecke algebras and quantum symmetric pairs

Cites Work

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• Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras
• Geometric Schur duality of classical type, II
• Positivity VS Negativity of Canonical Bases
• Hecke Algebras with Unequal Parameters
• The geometry of fixed point varieties on affine flag manifolds
• Affine flag varieties and quantum symmetric pairs
• Affine Hecke algebras and quantum symmetric pairs
• Geometric construction of the global base of the quantum modified algebra of \(\hat{\mathfrak g}{\mathfrak l}_N\)

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