Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article; zbMATH DE number 1396771 - MaRDI portal

scientific article; zbMATH DE number 1396771

From MaRDI portal
Publication:4936729

zbMath0936.16034arXivmath/0005101MaRDI QIDQ4936729

Vladislav Kharchenko

Publication date: 31 January 2000

Full work available at URL: https://arxiv.org/abs/math/0005101

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



Related Items (49)

Distinguished pre-Nichols algebrasOn a factorization of graded Hopf algebras using Lyndon words.PBW bases for a class of braided Hopf algebras.Triangular braidings and pointed Hopf algebras.Ideals for character Hopf algebras.Lifting via cocycle deformation.Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristicThe structure of connected (graded) Hopf algebras revisitedRoot multiplicities for Nichols algebras of diagonal type of rank twoA presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.Centers of generalized quantum groupsFinite GK-dimensional pre-Nichols algebras of (super)modular and unidentified typeTriangular decomposition of right coideal subalgebrasOn finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan typeA characterization of Nichols algebras of diagonal type which are free algebrasDuality for infinite-dimensional braided bialgebras and their (co)modulesCombinatorial rank of \(u_q(\mathfrak{so}_{2n})\)Quotient Hopf algebras of the free bialgebra with PBW bases and GK-dimensionsBraided racks, Hurwitz actions and Nichols algebras with many cubic relations.Right coideal subalgebras of \(U_q^+(\mathfrak{so}_{2n+1})\)PBW-bases of coideal subalgebras and a freeness theoremNatural elements of center of generalized quantum groupsOn finite dimensional Nichols algebras of diagonal typeFinite Cartan graphs attached to Nichols algebras of diagonal typeA classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groupsRight coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\)Rank three Nichols algebras of diagonal type over arbitrary fieldsOn the combinatorial rank of the quantum groups of type G2Classification of arithmetic root systemsRank 2 Nichols algebras with finite arithmetic root systemLusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal typeA generalization of Coxeter groups, root systems, and Matsumoto's theorem.Gröbner–Shirshov bases and their calculationSkew primitive elements in Hopf algebras and related identitiesOn the classification of finite-dimensional pointed Hopf algebras.The R-matrix of quantum doubles of Nichols algebras of diagonal typeThe Weyl groupoid of a Nichols algebra of diagonal typeKostant-Lusztig 𝔸-bases of multiparameter quantum groupsTypical irreducible characters of generalized quantum groupsOn some root multiplicities for Nichols algebras of diagonal type over arbitrary fieldsOn finite GK-dimensional Nichols algebras of diagonal typeStructures of Nichols (braided) Lie algebras of diagonal typePointed Hopf algebras -- from enveloping algebras to quantum groups and beyond.From Hopf Algebras to Tensor CategoriesThe structure of connected (graded) Hopf algebrasLower bounds of growth of Hopf algebrasRight coideal subalgebras of the quantum Borel algebra of type \(G_2\)Connected Hopf algebras of Gelfand-Kirillov dimension fourClassification of finite-dimensional irreducible representations of generalized quantum groups via Weyl groupoids







This page was built for publication: