Mullineux involution and twisted affine Lie algebras
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Publication:853938
DOI10.1016/j.jalgebra.2006.03.025zbMath1167.17006arXivmath/0512111OpenAlexW1963599582WikidataQ115351564 ScholiaQ115351564MaRDI QIDQ853938
Publication date: 7 December 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512111
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (2)
Crystal of affine type \(\widehat{A}_{\ell-1}\) and Hecke algebras at a primitive \(2\ell\) th root of unity ⋮ Representation theory of symmetric groups and related Hecke algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized Kac-Moody algebras
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- Some automorphisms of generalized Kac-Moody algebras
- A proof of the Mullineux conjecture
- Crystal bases and simple modules for Hecke algebra of type \(D_n\).
- Standard paths and standard monomials fixed by a diagram automorphism
- A Morita equivalence theorem for Hecke algebra \({\mathcal H}_q(D_n)\) when \(n\) is even
- Modular representations of Hecke algebras of type \(G(p,p,n)\).
- The representations of Hecke algebras of type \(A_ n\)
- Paths and root operators in representation theory
- From Dynkin diagram symmetries to fixed point structures
- Hecke algebras at roots of unity and crystal bases of quantum affine algebras
- The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
- 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}
- Representations of Hecke Algebras of General Linear Groups
- Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
- Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
- q-Deformed Fock spaces and modular representations of spin symmetric groups
- Irreducible representations of the alternating group in odd characteristic
- CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
- Blocks and Idempotents of Hecke Algebras of General Linear Groups
- Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
- Projective representations of symmetric groups via Sergeev duality
- Lakshmibai-Seshadri paths fixed by a diagram automorphism.
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