Supercategorification of quantum Kac-Moody algebras. I, II
DOI10.1016/j.aim.2013.04.008zbMath1304.17012arXiv1303.1916OpenAlexW2963613166MaRDI QIDQ387035
Se-jin Oh, Masaki Kashiwara, Seok-Jin Kang
Publication date: 11 December 2013
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1916
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Representation theory of associative rings and algebras (16G99) Super structures (17C70)
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Cites Work
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- Perfect bases for integrable modules over generalized Kac-Moody algebras
- Crystals from categorified quantum groups
- Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras
- Spin Hecke algebras of finite and affine types.
- Double affine Hecke algebras for the spin symmetric group.
- Hecke-Clifford superalgebras and crystals of type \(D_l^{(2)}\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Global crystal bases of quantum groups
- Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
- On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
- Hecke algebras at roots of unity and crystal bases of quantum affine algebras
- Perfect crystals and \(q\)-deformed Fock spaces
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- Quiver Hecke superalgebras
- Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
- Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
- A diagrammatic approach to categorification of quantum groups II
- A diagrammatic approach to categorification of quantum groups I
- Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
- CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES
- Categorification of highest weight modules over quantum generalized Kac-Moody algebras
- Categorification of quantum Kac-Moody superalgebras