On quantum groups
From MaRDI portal
Publication:912188
DOI10.1016/0021-8693(90)90187-SzbMath0698.16007OpenAlexW1975171921MaRDI QIDQ912188
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(90)90187-s
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
Related Items (34)
Roots of unity: Representations of quantum groups ⋮ The Kazhdan–Lusztig conjecture for 𝒲 algebras ⋮ Representations of quantum algebras ⋮ On the quantum group \(SL_ q(2)\) ⋮ A Fock space model for decomposition numbers for quantum groups at roots of unity ⋮ Algebraic representations and constructible sheaves ⋮ Positive Jantzen sum formulas for cyclotomic Hecke algebras ⋮ Noncommutative geometry of homogenized quantum \(\mathfrak{sl}(2, \mathbb{C})\) ⋮ Cohomology in singular blocks of parabolic category ⋮ Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules ⋮ The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view ⋮ Explicit generators of the centre of the quantum group ⋮ Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022 ⋮ Irregular Uq (sl(3)) representations at roots of unity via Gel’fand–(Weyl)–Zetlin basis ⋮ On an inner product in modular tensor categories ⋮ On crystal bases of the \(q\)-analogue of universal enveloping algebras ⋮ The canonical basis of the quantum adjoint representation ⋮ Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras ⋮ Finite-dimensional singletons of the quantum anti de Sitter algebra ⋮ Three lectures on quantum groups: Representations, duality, real forms ⋮ Tensor Structures Arising from Affine Lie Algebras. IV ⋮ Dual partially harmonic tensors and Brauer-Schur-Weyl duality. ⋮ Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules ⋮ UNITARY REPRESENTATIONS OF NONCOMPACT QUANTUM GROUPS AT ROOTS OF UNITY ⋮ ChevLie: constructing Lie algebras and Chevalley groups ⋮ Kazhdan-Lusztig conjecture for affine Lie algebras with negative level ⋮ On the double of the Hall algebra of a quiver ⋮ A Kohno-Drinfeld theorem for quantum Weyl groups ⋮ QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY ⋮ Classification of finite-dimensional irreducible representations of generalized quantum groups via Weyl groupoids ⋮ Light leaves and Lusztig's conjecture ⋮ Some applications of the quantum Weyl groups ⋮ Algebras of functions on compact quantum groups, Schubert cells and quantum tori ⋮ On the construction of semisimple Lie algebras and Chevalley groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classical and quantum conformal field theory
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Quantum deformations of certain simple modules over enveloping algebras
- Representations of Coxeter groups and Hecke algebras
- Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren
- Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas
This page was built for publication: On quantum groups
