Universal Verma modules and the Misra-Miwa Fock space

DOI10.1155/2010/326247zbMath1207.81042arXiv1002.0558OpenAlexW1974617284WikidataQ58651740 ScholiaQ58651740MaRDI QIDQ623686

Peter Tingley, Arun Ram

Publication date: 8 February 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0558

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Many-body theory; quantum Hall effect (81V70)

Related Items (4)

Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration ⋮ A Fock space model for decomposition numbers for quantum groups at roots of unity ⋮ ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Shapovalov determinant and translation functors for the Virasoro algebra
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Moduln mit einem höchsten Gewicht
• Some remarks on branching rules and tensor products for algebraic groups
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Shapovalov determinant for restricted and quantized restricted enveloping algebras
• Grading the translation functors in type \(A\).
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Decomposition of \(q\)-deformed Fock spaces
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• The \(b\)-functions for prehomogeneous vector spaces of commutative parabolic type and universal generalized Verma modules
• Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
• Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• A diagrammatic approach to categorification of quantum groups I
• Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
• Cyclotomic q-Schur algebras as quotients of quantum algebras
• Branching rules for modular representations of symmetric groups, II.

This page was built for publication: Universal Verma modules and the Misra-Miwa Fock space