Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties

DOI10.2977/PRIMS/77zbMath1308.17018arXiv1103.4207OpenAlexW2962955921MaRDI QIDQ713082

Ryosuke Kodera, Katsuyuki Naoi

Publication date: 26 October 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4207

zbMATH Keywords

Weyl modulequiver varietiescrystalsLoewy series

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Local Weyl modules and fusion products for the current superalgebra \(\mathfrak{sl}(1|2) [t\)] ⋮ Categorical cell decomposition of quantized symplectic algebraic varieties ⋮ On Chari-Loktev bases for local Weyl modules in type \(A\) ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ Quantum affine algebras, graded limits and flags ⋮ Cyclic sieving, rotation, and geometric representation theory ⋮ Realization of Kirillov-Reshetikhin crystals \(B^{1,s}\) for \(\widehat{\mathfrak{sl}}_n\) using Nakajima monomials ⋮ Kirwan surjectivity for quiver varieties ⋮ On truncated Weyl modules ⋮ On multigraded generalizations of Kirillov-Reshetikhin modules ⋮ Demazure modules, fusion products and \(Q\)-systems ⋮ Beilinson–Drinfeld Schubert varieties and global Demazure modules ⋮ Highest weights for truncated shifted Yangians and product monomial crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\)
• Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
• Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
• Multi-dimensional Weyl modules and symmetric functions
• Spectral characters of finite-dimensional representations of affine algebras
• Proof of the Combinatorial Kirillov-Reshetikhin Conjecture
• Koszul Duality Patterns in Representation Theory