Symmetry for Finite Dimensional Hopf Algebras

DOI10.2307/2041758zbMath0349.16001OpenAlexW4249268533MaRDI QIDQ4119330

James E. Humphreys

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2041758

Mathematics Subject Classification ID

Related Items (20)

Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\) ⋮ Symmetric coalgebras. ⋮ Representations of finite-dimensional Hopf algebras ⋮ Highest weight theory for finite-dimensional graded algebras with triangular decomposition ⋮ Constructing non-semisimple modular categories with local modules ⋮ Support theory for Drinfeld doubles of some infinitesimal group schemes ⋮ Support varieties, AR-components, and good filtrations. ⋮ A filtration for rational modules ⋮ The blocks of a semisimple algebraic group ⋮ On the structure and cohomology ring of connected Hopf algebras ⋮ Projective representations of generalized reduced enveloping algebras ⋮ Endomorphism algebras of some modules for Schur algebras and representation dimension. ⋮ Connes-Moscovici characteristic map is a Lie algebra morphism. ⋮ Geometry of p-unipotent Lie algebras ⋮ Modified trace is a symmetrised integral ⋮ Eilenberg-Watts calculus for finite categories and a bimodule Radford 𝑆⁴ theorem ⋮ Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen ⋮ Blocks and indecomposable modules for semisimple algebraic groups ⋮ Ambidextrous objects and trace functions for nonsemisimple categories ⋮ Varieties of elementary abelian Lie algebras and degrees of modules

Cites Work

• Unnamed Item
• Ordinary and modular representations of Chevalley groups
• Modular representations of classical Lie algebras and semi-simple groups
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite
• Symmetry for the Enveloping Algebra of a Restricted Lie Algebra
• An Associative Orthogonal Bilinear Form for Hopf Algebras
• The u-Algebra of a Restricted Lie Algebra is Frobenius

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