Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\)
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Publication:6051018
DOI10.1016/j.jalgebra.2023.06.044arXiv2210.15288MaRDI QIDQ6051018
Jae-Hoon Kwon, Il-Seung Jang, Akito Uruno
Publication date: 19 September 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.15288
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)
Cites Work
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- Super duality and crystal bases for quantum ortho-symplectic superalgebras. II
- Quantum shuffles and quantum supergroups of basic type
- Quantum unipotent subgroup and dual canonical basis
- Crystal bases for the quantum queer superalgebra
- Super duality and irreducible characters of ortho-symplectic Lie superalgebras
- Combinatorial descriptions of the crystal structure on certain PBW bases
- Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\)
- Crystal graphs for Lie superalgebras and Cauchy decomposition
- Young tableaux, multisegments, and PBW bases
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- The diamond lemma for ring theory
- The crystal base and Littelmann's refined Demazure character formula
- Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
- Quantum \(R\)-matrix and intertwiners for the Kashiwara algebra
- On the coloured graph structure of Lusztig's canonical basis
- Dual canonical bases, quantum shuffles and \(q\)-characters
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- \(R\) matrix for generalized quantum group of type \(A\)
- Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra
- Crystal Bases of q-deformed Kac Modules Over the Quantum Superalgebra Uq(๐ค๐ฉ(m|n))
- Tetrahedron equation and generalized quantum groups
- Super Duality and Crystal Bases for Quantum Ortho-Symplectic Superalgebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$
- Super Duality for Quantum Affine Algebras of Type A
- A categorification of the positive half of quantum ๐๐(๐|1)
- Introduction to quantum groups
- Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules
