Work of Vyjayanthi Chari

DOI10.1007/978-3-030-63849-8_3OpenAlexW4240495549MaRDI QIDQ2090726

Yanyan Li

Publication date: 31 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-63849-8_3

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Cluster algebras (13F60)

Cites Work

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• A categorical approach to Weyl modules
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• The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras
• Cluster algebras and quantum affine algebras
• A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras
• Annihilators of Verma modules for Kac-Moody Lie algebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• A new family of irreducible, integrable modules for affine Lie algebras
• Integrable representations of twisted affine Lie algebras
• Quantum affine algebras
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
• Yangians: their representations and characters
• Minimal affinizations of representations of quantum groups: The rank 2 case
• Prime representations from a homological perspective
• An algebraic characterization of the affine canonical basis
• Demazure flags, \(q\)-Fibonacci polynomials and hypergeometric series
• Tensor products and \(q\)-characters of HL-modules and monoidal categorifications
• Macdonald polynomials and BGG reciprocity for current algebras
• Current algebras, highest weight categories and quivers
• Macdonald polynomials and level two Demazure modules for affine \(\mathfrak{sl}_{n+1}\)
• Graded level zero integrable representations of affine Lie algebras
• A diagrammatic approach to categorification of quantum groups I
• Monoidal categorification and quantum affine algebras
• Tilting modules for the current algebra of a simple Lie algebra
• BGG reciprocity for current algebras
• BGG reciprocity for current algebras

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