TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA

DOI10.1142/S0219498807002417zbMath1236.17009OpenAlexW1882156788WikidataQ115245709 ScholiaQ115245709MaRDI QIDQ3502803

Anders Frisk

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002417

zbMATH Keywords

quasi-hereditary algebraqueer Lie superalgebra \(\mathfrak q(n)\)standardly stratified algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of associative Artinian rings (16G10)

Related Items (13)

KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ Semi-Infinite Highest Weight Categories ⋮ Serre functors for Lie algebras and superalgebras ⋮ Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\) ⋮ Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras ⋮ Dlab's theorem and tilting modules for stratified algebras. ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Type A blocks of super category \(\mathcal{O}\) ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Parabolic category O for classical Lie superalgebras ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Regular strongly typical blocks of \(\mathcal O^{\mathfrak q}\)

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