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Quantum Groups and Noncommutative Geometry [2018]
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Introduction
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The Quantum Group <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="469140_2_En_2_Chapter_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">GL</mi> <mi>q</mi> </msub> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>
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Bialgebras and Hopf Algebras
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Quadratic Algebras as Quantum Linear Spaces
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Quantum Matrix Spaces. I. Categorical Viewpoint
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Quantum Matrix Spaces. II. Coordinate Approach
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Adding Missing Relations
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From Semigroups to Groups
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Frobenius Algebras and the Quantum Determinant
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Koszul Complexes and the Growth Rate of Quadratic Algebras
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Hopf <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="469140_2_En_11_Chapter_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mrow> <mrow /> <mo>∗</mo> </mrow> </math></EquationSource> </InlineEquation>-Algebras and Compact Matrix Pseudogroups
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Yang–Baxter Equations
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Algebras in Tensor Categories and Yang–Baxter Functors
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Some Open Problems
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The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups
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Correction to: The Tannaka–Krein Formalism and (Re)Presentations of Universal Quantum Groups
