Decomposition of \(q\)-deformed Fock spaces
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Publication:1915873
DOI10.1007/BF01587910zbMath0857.17013arXivq-alg/9508006OpenAlexW2033740049MaRDI QIDQ1915873
Publication date: 11 March 1997
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9508006
decompositionHeisenberg algebraquantum groupsFock representationhighest weight representationintertwiners\(q\)-wedging operatorslevel-one \(q\)-deformed Fock space representations
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items (36)
Perfect crystals and \(q\)-deformed Fock spaces ⋮ Heisenberg algebra, wedges and crystals ⋮ General runner removal and the Mullineux map. ⋮ Hecke modules from metaplectic ice ⋮ A combinatorial formula for Macdonald polynomials ⋮ An algorithm for computing the canonical bases of higher-level \(q\)-deformed Fock spaces ⋮ Unnamed Item ⋮ A Fock space model for decomposition numbers for quantum groups at roots of unity ⋮ Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland model with spin \(1\over 2\) ⋮ DUAL EQUIVALENCE GRAPHS I: A NEW PARADIGM FOR SCHUR POSITIVITY ⋮ Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\) ⋮ Quantum geometry and quiver gauge theories ⋮ A Weyl module stratification of integrable representations. With an appendix by Ryosuke Kodera ⋮ Universal Verma modules and the Misra-Miwa Fock space ⋮ On the structure and representation theory of \(q\)-deformed Clifford algebras ⋮ Super duality and Kazhdan-Lusztig polynomials ⋮ Vertex operators, solvable lattice models and metaplectic Whittaker functions ⋮ \(U_q(\widehat{\mathfrak{gl}}_N)\) action on \(\widehat{\mathfrak{gl}}_N\)-modules and quantum toroidal algebras. ⋮ Crystal duality and Littlewood-Richardson rule of extremal weight crystals ⋮ Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type \({\mathfrak {gl}}_N\) ⋮ The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials ⋮ On the decomposition matrices of the quantized Schur algebra ⋮ Canonical bases of higher-level \(q\)-deformed Fock spaces. ⋮ Ribbon Schur operators ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Hall algebras of cyclic quivers and \(q\)-deformed Fock spaces ⋮ Ribbon tableaux and the Heisenberg algebra ⋮ Canonical bases and moduli spaces of sheaves on curves ⋮ Infinitesimal change of stable basis ⋮ Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level ⋮ The circle quantum group and the infinite root stack of a curve ⋮ Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules ⋮ Hecke-Hopf algebras ⋮ \(K\)-theory of quiver varieties, \(q\)-Fock space and nonsymmetric Macdonald polynomials ⋮ On the center of affine Hecke algebras of type \(A\). ⋮ The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
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