Varieties for modules of finite dimensional Hopf algebras

DOI10.1007/978-3-319-94033-5_20zbMATH Open1544.16029MaRDI QIDQ6599314

Sarah Witherspoon

Publication date: 6 September 2024

Mathematics Subject Classification ID

Group rings (16S34) Homological methods in group theory (20J05) Hopf algebras and their applications (16T05)

Cites Work

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• Hopf algebra structures and tensor products for group algebras
• Support varieties for restricted Lie algebras
• On the cohomology of algebraic and related finite groups
• The varieties and the cohomology ring of a module
• Rank varieties for Hopf algebras.
• Stratifying modular representations of finite groups.
• The Avrunin-Scott theorem for quantum complete intersections.
• Varieties for modules of quantum elementary Abelian groups.
• Hochschild and ordinary cohomology rings of small categories
• Rank varieties for a class of finite-dimensional local algebras.
• \(\Pi\)-supports for modules for finite group schemes.
• On Carlson's conjecture for cohomology rings of modules
• Quillen stratification for modules
• Cohomology of quantum groups at roots of unity
• The support of an irreducible Lie algebra representation
• Cohomology of finite group schemes over a field
• Support varieties and cohomology over complete intersections
• Complexity of representations of quantised function algebras and representation type
• Tensor products and support varieties for some noncocommutative Hopf algebras
• Kohomologie von p-Lie-Algebren und nilpotente Elemente. (Cohomology of p- Lie-algebras and nilpotent elements)
• Support varieties for quantum groups
• Constructing modules with prescribed cohomological support
• Support varieties for selfinjective algebras.
• Examples of support varieties for Hopf algebras with noncommutative tensor products.
• The spectrum of an equivariant cohomology ring. I. II
• The cohomology ring of the 12-dimensional Fomin-Kirillov algebra
• Cohomology for quantum groups via the geometry of the nullcone
• Cohomology and support varieties for Lie superalgebras
• The Cohomology Ring of a Finite Group
• Tameness and complexity of finite group schemes
• Support Varieties and Representation Type of Small Quantum Groups
• Support varieties for infinitesimal group schemes
• The Hochschild Cohomology Ring of a Group Algebra
• Cohomology of Quantized Function Algebras at Roots of Unity
• Support varieties and Hochschild cohomology rings
• The Hilton-Heckmann argument for the anti-commutativity of cup products
• Non-principal blocks with one simple module
• Cohomology of finite-dimensional pointed Hopf algebras
• Tensor ideals and varieties for modules of quantum elementary abelian groups
• Spectrum of group cohomology and support varieties
• Erratum to "Representation-theoretic support spaces for finite group schemes"
• Thick subcategories of the bounded derived category of a finite group

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