ON MATRIX QUANTUM GROUPS OF TYPE An
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Publication:2706844
DOI10.1142/S0129167X00000581zbMath0984.16036arXivq-alg/9708007OpenAlexW1609144316MaRDI QIDQ2706844
Publication date: 29 January 2002
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9708007
Hecke algebrasHopf algebrasintegralsYang-Baxter equationribbon categoriescategories of comodulesbialgebrassimple comodulesquantum dimensionmatrix quantum groupsHecke symmetriesMurphy operators
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Related Items (10)
Unnamed Item ⋮ Quantum groups of \(\mathrm{GL}(2)\) representation type. ⋮ The homological determinant of quantum groups of type 𝐴 ⋮ Irreducible representations of quantum linear groups of type \(A_{1|0}\). ⋮ \(q\)-index on braided non-commutative spheres ⋮ Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\) ⋮ On the structure of quantum super groups \(\text{GL}_q(m|n)\) ⋮ Realizations of quantum hom-spaces, invariant theory, and quantum determinantal ideals ⋮ Traces in braided categories ⋮ Twisting the \(q\)-deformations of compact semisimple Lie groups
Cites Work
- The quantum group structure associated with non-linearly extended Virasoro algebras
- Tortile Yang-Baxter operators in tensor categories
- Multiparametric quantum deformation of the general linear supergroup
- Locally finite representations
- Quantum deformation of classical groups
- Braided tensor categories
- Koszul property and Poincaré series of matrix bialgebras of type \(A_ n\)
- Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians
- Ribbon graphs and their invariants derived from quantum groups
- Free Hopf algebras generated by coalgebras
- Two-Parameter Quantum Linear Groups and the Hyperbolic Invariance of q -Schur Algebras
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Representations of Hecke Algebras of General Linear Groups
- Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
- MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS
- Blocks and Idempotents of Hecke Algebras of General Linear Groups
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