Quiver varieties and tensor products

DOI10.1007/PL00005810zbMath1023.17008arXivmath/0103008MaRDI QIDQ1608545

Hiraku Nakajima

Publication date: 8 August 2002

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103008

zbMATH Keywords

tensor productquiver varietyquantum loop algebraintegrable highest weight moduleuniversal standard module

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)

Related Items (46)

Quiver varieties and the quantum Knizhnik-Zamolodchikov equation ⋮ Level 0 Monomial Crystals ⋮ Monomial realization of crystal bases for special linear Lie algebras ⋮ On two geometric constructions of \(U(\mathfrak {sl}_n)\) and its representations ⋮ Stable maps, Q-operators and category 𝒪 ⋮ Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types ⋮ On generalized category \(\mathcal O\) for a quiver variety ⋮ Comparison of quiver varieties, loop Grassmannians and nilpotent cones in type \(A\) (with an appendix by Vasily Krylov) ⋮ Crystal bases as tuples of integer sequences ⋮ Etingof's conjecture for quantized quiver varieties ⋮ Coherent sheaves on quiver varieties and categorification ⋮ Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\) ⋮ Principal components along quiver representations ⋮ Symplectic resolutions, symplectic duality, and Coulomb branches ⋮ Tensor product varieties and crystals: The \(ADE\) case. ⋮ SHUFFLE ALGEBRAS FOR QUIVERS AND R-MATRICES ⋮ Framed cohomological Hall algebras and cohomological stable envelopes ⋮ Geometry of canonical bases and mirror symmetry ⋮ The gauge-Bethe correspondence and geometric representation theory ⋮ The tensor product of representations of \(U_q(\mathfrak{sl}_2)\) via quivers ⋮ Towards geometric Satake correspondence for Kac-Moody algebras --- Cherkis bow varieties and affine Lie algebras of type $A$ ⋮ On the vertex functions of type \(A\) quiver varieties ⋮ Geometric realizations of the basic representation of \(\widehat{\mathfrak{gl}}_r\) ⋮ Quiver varieties and fusion products for \(\mathfrak{sl}_2\) ⋮ Quiver varieties and symmetric pairs ⋮ Quivers with loops and generalized crystals ⋮ Moduli spaces of meromorphic connections and quiver varieties ⋮ Diagram automorphisms of quiver varieties ⋮ Canonical basis, KLR algebras and parity sheaves ⋮ Tensor product varieties, perverse sheaves, and stability conditions ⋮ Categorification of integrable representations of quantum groups ⋮ Crystals and Nakajima monomials for quantum generalized Kac-Moody algebras ⋮ Affine cellularity of quantum affine algebras: an appendix to ``Affine cellularity of BLN-algebras by Weideng Cui ⋮ Combinatorial realizations of crystals via torus actions on quiver varieties ⋮ Monomial realization of crystal bases \(B(\infty)\) for the quantum finite algebras ⋮ Quiver varieties and cluster algebras ⋮ Tensor product varieties and crystals: $GL$ case ⋮ Crystal bases for quantum classical algebras and Nakajima's monomials ⋮ Nakajima monomials, Young walls and Kashiwara embedding for \(U_q(A_n^{(1)})\) ⋮ Monomial realization of crystal graphs for \(U_q(A_n^{(1)})\) ⋮ Crystal Bases and Monomials forU_q(G₂)-Modules ⋮ Kirillov-Reshetikhin crystals, energy function and the combinatorial \(R\)-matrix ⋮ Crystals, quiver varieties, and coboundary categories for Kac-Moody algebras ⋮ Graded quiver varieties and singularities of normalized R-matrices for fundamental modules ⋮ Highest weights for truncated shifted Yangians and product monomial crystals ⋮ \(q\), \(t\)-characters and the structure of the \(\ell\)-weight spaces of standard modules over simply laced quantum affine algebras

This page was built for publication: Quiver varieties and tensor products