scientific article

From MaRDI portal
Publication:3202270

zbMath0715.17015MaRDI QIDQ3202270

Nicolai Reshetikhin, Ludvig Faddeev, L. A. Takhtadzhyan

Publication date: 1990


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

Characters of infinite-dimensional quantum classical groups: BCD casesLie superbialgebra structures on the Lie superalgebra C3+A and deformation of related integrable Hamiltonian systemsUnnamed ItemOn diagonal solutions of the reflection equationMarginal deformations and quasi-Hopf algebrasMatrix product solutions to the reflection equation from three dimensional integrabilityScientific heritage of L.D. Faddeev. Survey of papersCocommutative elements form a maximal commutative subalgebra in quantum matricesOn q- and h-deformations of 3d-superspacesA categorical approach to dynamical quantum groups\(R\)-matrix presentation of quantum affine algebra in type \(A_{2n-1}^{(2)}\)New solutions to the tetrahedron equation associated with quantized six-vertex modelsA note on the center of the super Yangian \(Y_{M|N}(\mathfrak{s})\)Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$Minor identities for Sklyanin determinantsUniversal quantum (semi)groups and Hopf envelopesMaximally extended $\boldsymbol {\mathfrak{sl}(2\vert 2)}$ , q-deformed $\boldsymbol{\mathfrak{d}{(2, 1;\epsilon)}}$ and 3D kappa-PoincaréQuantum symmetric conjugacy classes of non-exceptional groupsOn the structure and representation theory of \(q\)-deformed Clifford algebrasHighest weight modules over the quantum periplectic superalgebra of type \(P\)Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C\(R\)-matrix for the 8-dimensional spin representation of \(U_q (\mathfrak{so}_7)\)From braces to Hecke algebras and quantum groupsFlag integrable models and generalized graded algebrasBrownian motion on involutive braided spacesPseudo-parabolic category over quaternionic projective planeSolutions to graded reflection equation of \(\mathrm{GL}\)-typeIrreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebraThe \(R\)-matrix presentation for the rational form of a quantized enveloping algebraQuiver varieties and symmetric pairsQuantum de Rham complex on 𝔸h1|2Unnamed ItemUnnamed ItemNoncommutative Fiber BundlesNichols algebras that are quantum planesHopf algebra structure on superspace $\text{SP}_q^{2|1}$Quantum groups and \(q\)-lattices in spaceCovariant differential calculus on SP2j1On quantization of the Semenov-Tian-Shansky Poisson bracket on simple algebraic groupsCentralizer coalgebras, FRT-construction, and symplectic monoidsA pairing theorem between a braided bialgebra and its dual bialgebraRepresentations of twisted \(q\)-YangiansQuantized coordinate rings, PBW-type bases and \(q\)-boson algebrasThe Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebrasAnalytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representationUnnamed ItemUnnamed ItemCayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ typeThe thermodynamical limit of generalgl(N) spin chains: the vacuum state and densitiesGeometric Complexity Theory IV: nonstandard quantum group for the Kronecker problemUnnamed ItemTowards a Classification of Compact Quantum Groups of Lie TypeAn algebraic approach to discrete time integrabilityThe Askey–Wilson algebra and its avatarsSet-theoretic Yang–Baxter equation, braces and Drinfeld twistsLax matrices from antidominantly shifted Yangians and quantum affine algebras: A-typeAssociative triples and the Yang-Baxter equation.Unrestricted quantum moduli algebras. I: The case of punctured spheresClassification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\)Free products of compact quantum groupsRational Lax matrices from antidominantly shifted extended Yangians: BCD typesToric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relationsBPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters\(q\)-Lorentz group and braided coaddition on \(q\)-Minkowski spaceMinor identities for quasi-determinants and quantum determinantsConstruction of field algebras with quantum symmetry from local observablesStar product on complex sphere \(\mathbb {S}^{2n}\)Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomialsA star-product approach to noncompact quantum groupsBicovariant De Rham cohomology of \(SU_ q(2)\)A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identityGel'fand pair criteria for compact matrix quantum groupsOn the graded algebras associated with Hecke symmetries. II: The Hilbert seriesChern-Simons theory, link invariants and the Askey-Wilson algebraCategorification and the quantum GrassmannianTwo dimensional lattice gauge theory based on a quantum groupOn the quantum group \(SL_ q(2)\)Multiparameter quantum enveloping algebrasQuantization of Poisson pencils and generalized Lie algebrasOrthogonal and symplectic Yangians: linear and quadratic evaluationsCompact quantum groups of face typeA central extension of \(DY_{\hbar}(\mathfrak{gl}_ 2)\)Deformations of compact quantum groups via Rieffel's quantizationQuantization of Poisson-Lie groups and applicationsQuantum immanants and higher Capelli identitiesAsymptotic representations of quantum affine superalgebrasRealization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic spaceThe first and second fundamental theorems of invariant theory for the quantum general linear supergroupA note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operatorsGeneralized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\)Non-Levi closed conjugacy classes of \(\mathrm{SP}_q(2n)\).Classification of quantum groups via Galois cohomologyShuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan dataFeigin-Frenkel center in types \(B\), \(C\) and \(D\)Duality of Lusztig and RTT integral forms of \(U_{\boldsymbol{v}}(L\mathfrak{sl}_n)\)Quantum groups, Yang-Baxter maps and quasi-determinantsYang-Baxter maps, discrete integrable equations and quantum groupsGelfand-Tsetlin modules of quantum \(\mathfrak{gl}_n\) defined by admissible sets of relationsThe generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\)Second-order evaluations of orthogonal and symplectic Yangians




This page was built for publication: