On Ext2 between Weyl modules for quantum GLn

DOI10.1017/S0305004199004296zbMath0963.20021MaRDI QIDQ4493485

Karin Erdmann, Anton Cox

Publication date: 19 September 2000

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

extensions\(q\)-Schur algebrasWeyl modulessimple modulesExtFrobenius kernelsLyndon-Hochschild-Serre spectral sequencesquantum general linear groups\(\Delta\)-filtrations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology theory for linear algebraic groups (20G10)

Related Items (15)

Good \(l\)-filtrations for \(q\)-\(\mathrm{GL}_3(k)\) ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Higher extensions between modules for \(\text{SL}_2\). ⋮ The modular Temperley-Lieb algebra ⋮ The blob algebra in positive characteristic. ⋮ Bounding and unbounding higher extensions for \(\mathrm{SL}_2\). ⋮ Representation type of $q$-Schur algebras ⋮ Some q-analogues of the Carter-Payne theorem ⋮ Cohomology of SL₂ and related structures ⋮ The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\) ⋮ HOMOMORPHISMS AND HIGHER EXTENSIONS FOR SCHUR ALGEBRAS AND SYMMETRIC GROUPS ⋮ Homomorphisms between Weyl modules for $\operatorname {SL}_3(k)$ ⋮ Integral \(\mathrm{Ext}^2\) between hook Weyl modules ⋮ On extensions of hook Weyl modules ⋮ Extensions of modules for \(\text{SL}(2,K)\)

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