Hopf algebras and vector symmetries

DOI10.1070/RM1986v041n05ABEH003441zbMath0649.16008OpenAlexW2078457104MaRDI QIDQ3794333

Volodimir Lyubashenko

Publication date: 1986

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1986v041n05abeh003441

zbMATH Keywords

Yang-Baxter equationtensor categories\({bbfZ}/2\)-graded analysis

Mathematics Subject Classification ID

Related Items (33)

Complex quantum groups and their real representations ⋮ Quasitriangularity and enveloping algebras for inhomogeneous quantum groups ⋮ Hopf modules and the double of a quasi-Hopf algebra ⋮ Quantum de rham complexes ⋮ Multiparameter quantum groups and multiparameter \(R\)-matrices ⋮ Braided module and comodule algebras, Galois extensions and elements of trace 1. ⋮ Quantum doubles of Fock type and bosonization ⋮ Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians ⋮ Triangular braidings and pointed Hopf algebras. ⋮ Braided Yangians ⋮ Quantum groups and representations of monoidal categories ⋮ Duality for infinite-dimensional braided bialgebras and their (co)modules ⋮ Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type ⋮ The Hilbert basis theorem revisited ⋮ The cylinder product and cylinder matrices ⋮ \(R\)-commutative geometry and quantization of Poisson algebras ⋮ The homological determinant of quantum groups of type 𝐴 ⋮ Hochschild Homology in a Braided Tensor Category ⋮ Hopf Algebras ⋮ Some remarks on Koszul algebras and quantum groups ⋮ One parameter family of Jordanian twists ⋮ Determinants in quantum matrix algebras and integrable systems ⋮ Tannaka-Krein duality for Hopf algebroids ⋮ Quantum multilinear algebra ⋮ Skew braces as remnants of co-quasitriangular Hopf algebras in suplat ⋮ Noncommutative differential geometry related to the Yang-Baxter equation. ⋮ Quantum groups and quantum semigroups ⋮ Hecke symmetries ⋮ A freeness theorem for Nichols algebras ⋮ Quantized Koszul complexes ⋮ Quantum deformation of classical groups ⋮ COMPACT MATRIX QUANTUM GROUPS ARISING FROM HERMITIAN YANG-BAXTER COALGEBRAS ⋮ Theory of braided Hopf crossed products

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