Centers of generalized quantum groups (Q1689598)

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Language	Label	Description	Also known as
English	Centers of generalized quantum groups	scientific article

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scholarly article

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Centers of generalized quantum groups (English)

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Hiroyuki Yamane

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Journal of Pure and Applied Algebra

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publication date

12 January 2018

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full work available at URL

https://arxiv.org/abs/1309.1651

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MaRDI profile type

MaRDI publication profile

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On the classification of finite-dimensional pointed Hopf algebras.

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The <i>R</i>-matrix of quantum doubles of Nichols algebras of diagonal type

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Classification of finite-dimensional irreducible representations of generalized quantum groups via Weyl groupoids

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Weyl groupoids with at most three objects.

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The Weyl groupoid of a Nichols algebra of diagonal type

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Classification of arithmetic root systems

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Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type

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A generalization of Coxeter groups, root systems, and Matsumoto's theorem.

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Drinfel'd doubles and Shapovalov determinants

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Laplace operators of infinite-dimensional Lie algebras and theta functions

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On the center of the small quantum group.

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Introduction to quantum groups

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Grothendieck rings of basic classical Lie superalgebras

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The centre of quantum \(\mathfrak {sl}_n\) at a root of unity

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KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS

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Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices

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On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras

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Generalized root systems and the affine Lie superalgebra \(\mathrm {G}^{(1)}(3)\)

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Identifiers

zbMATH Open document ID

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10.1016/j.jpaa.2017.06.015

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1689598

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