Locally finite representations

DOI10.1016/0021-8693(76)90173-3zbMath0369.16008OpenAlexW2015411089MaRDI QIDQ1243781

James A. Green

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90173-3

Mathematics Subject Classification ID

Related Items (74)

Almost split sequences for comodules ⋮ On Ext¹ for semisimple groups and infinitesimal subgroups ⋮ On Schur algebras and related algebras. I ⋮ Finite resolutions of modules for reductive algebraic groups ⋮ LOCALIZATION IN COALGEBRAS: APPLICATIONS TO FINITENESS CONDITIONS ⋮ Tannaka-Kreǐn reconstruction and a characterization of modular tensor categories ⋮ Some properties of general linear supergroups and of Schur superalgebras ⋮ Resolutions of \(B\) modules ⋮ Unnamed Item ⋮ On Schur algebras and related algebras. II ⋮ IDEMPOTENTS AND MORITA-TAKEUCHI THEORY ⋮ Dual Gabriel theorem with applications. ⋮ Skew modules for reductive groups ⋮ On the structure of certain injective modules over group algebras of soluble groups of finite rank ⋮ Polynomial representations, algebraic monoids, and Schur algebras of classical type ⋮ Localization in right (*)-serial coalgebras. ⋮ Filtrations for q-Young modules ⋮ On the dimension of the space of integrals on coalgebras. ⋮ Coxeter transformation and inverses of Cartan matrices for coalgebras. ⋮ On Schur algebras and related algebras. VI: Some remarks on rational and classical Schur algebras. ⋮ Cohomology, hyperalgebras, and representations ⋮ On a classical stability result on invariants of isotypical modules ⋮ Layers of the coradical filtration ⋮ A filtration for rational modules ⋮ The blocks of a semisimple algebraic group ⋮ On the Noetherian property in endomorphism rings of certain comodules ⋮ Weakly multiplicative coactions of quantized function algebras. ⋮ Compact involutions of semisimple quantum groups. ⋮ Special biserial coalgebras and representations of quantum \(SL(2)\). ⋮ Pseudocompact algebras and highest weight categories ⋮ Some Remarks on Localization in Coalgebras ⋮ ON MATRIX QUANTUM GROUPS OF TYPE A_n ⋮ Some categorical remarks on the representation theory of coalgebras ⋮ Serial coalgebras. ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. ⋮ Almost split morphisms, preprojective algebras and multiplication maps of maximal rank. ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ A duality theorem for crossed products of Hopf algebras ⋮ On the blocks of semisimple algebraic groups and associated generalized Schur algebras. ⋮ Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. ⋮ (*)-serial coalgebras. ⋮ Bicharacters, twistings, and Scheunert's theorem for Hopf algebras ⋮ Schur Algebras of Classical Groups II ⋮ Quiver Hopf algebras. ⋮ Decompositions of comodules ⋮ Hopf superquivers. ⋮ Flat Comodules and Perfect Coalgebras ⋮ Abelian categories, almost split sequences, and comodules ⋮ Quantized hyperalgebras of rank 1 ⋮ Decomposition of comodules ⋮ Filtrations with weyl module quotients of the principal indecomposable modules for the group SL(2,q) ⋮ Hopf Algebras ⋮ Infinite dimensional serial algebras and their representations ⋮ The rational Schur algebra ⋮ Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\) ⋮ Comodules of \(U_q(sl_2)\) and modules of \(\text{SL}_q(2)\) via quiver methods ⋮ Co-Frobenius coalgebras. ⋮ Induced modules and affine quotients ⋮ Injective comodules for 2 × 2 quantum matrices ⋮ Complements of tableaux and straightening bideterminants ⋮ Conditions for a Module to be Injective and some Applications to Hopf Algebra Duality ⋮ Blocks and indecomposable modules for semisimple algebraic groups ⋮ A functorial approach to Gabriel \(k\)-quiver constructions for coalgebras and pseudocompact algebras ⋮ The first cohomology group of a line bundle on G/B ⋮ On Hopf Algebras with Nonzero Integral ⋮ Quiver approaches to quasi-Hopf algebras ⋮ Localization in Coalgebras. Stable Localizations and Path Coalgebras ⋮ Equivalences of (co)module algebra structures over Hopf algebras ⋮ On the Hopf algebra dual of an enveloping algebra ⋮ Hopf quivers. ⋮ Graded almost Noetherian rings and applications to coalgebras ⋮ A Skolem-Noether theorem for coalgebra measurings ⋮ Spherical supervarieties

Cites Work

• Galoissche Theorie und Darstellungstheorie
• Representations of locally finite groups
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