Beilinson–Drinfeld Schubert varieties and global Demazure modules

DOI10.1017/fms.2021.36zbMath1469.14102arXiv2003.12930OpenAlexW3164507508MaRDI QIDQ4992407

Ilya Dumanski, Michael Finkelberg, Evgeny Feigin

Publication date: 8 June 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12930

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (2)

PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Quantum affine algebras, graded limits and flags

Cites Work

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• A categorical approach to Weyl modules
• Weyl modules, Demazure modules and finite crystals for non-simply laced type
• Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties
• Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\)
• Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
• Affine Demazure modules and \(T\)-fixed point subschemes in the affine Grassmannian
• Demazure character formula in arbitrary Kac-Moody setting
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Demazure character formula for semi-infinite flag varieties
• Categorical geometric symmetric Howe duality
• Kac-Moody groups, their flag varieties and representation theory
• On quiver varieties and affine Grassmannians of type A.
• Arc structure of singularities
• Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula
• Weyl modules and \(q\)-Whittaker functions
• Representations of rational Cherednik algebras with minimal support and torus knots.
• Vertex algebras and coordinate rings of semi-infinite flags
• Semi-infinite Schubert varieties and quantum 𝐾-theory of flag manifolds
• The Beilinson-Drinfeld Grassmannian and symplectic knot homology
• On the Demazure character formula
• On Cohen–Macaulayness ofS_n-Invariant Subspace Arrangements
• An introduction to affine Grassmannians and the geometric Satake equivalence
• Semiinfinite Flags. I. Case of global curve $P^1$
• Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
• Semi-infinite Plücker Relations and Weyl Modules
• Cluster theory of the coherent Satake category
• Twisted zastava and q-Whittaker functions
• Tensor Product Structure of Affine Demazure Modules and Limit Constructions
• BGG reciprocity for current algebras
• Jet schemes of locally complete intersection canonical singularities.

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