Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\)

DOI10.3842/SIGMA.2020.141zbMath1498.17035arXiv2008.10649OpenAlexW3115965877MaRDI QIDQ2223060

Nikolay Grantcharov, Vera V. Serganova

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10649

zbMATH Keywords

cohomologyLie superalgebraflag supermanifoldextension quiver

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55)

Related Items (3)

Grothendieck rings of Queer Lie superalgebras ⋮ On the Duflo-Serganova functor for the queer Lie superalgebra ⋮ Integrable bounded weight modules of classical Lie superalgebras at infinity

Cites Work

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• Finite-dimensional half-integer weight modules over queer Lie superalgebras
• Serre functors for Lie algebras and superalgebras
• Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\)
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• Modular representations of the supergroup \(Q(n)\). II.
• Characters of typical irreducible finite-dimensional \({\mathfrak q}(n)\)- modules
• Blocks of tame representation type and related algebras
• Indecomposable representations of special linear Lie superalgebras
• Characters of irreducible \(G\)-modules and cohomology of \(G/P\) for the Lie supergroup \(G=Q(N)\)
• Character of finite dimensional irreducible \(q(n)\)-modules
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\)
• A journey through representation theory. From finite groups to quivers via algebras
• Type C blocks of super category \(\mathcal{O}\)
• Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
• Cohomology and support varieties for Lie superalgebras
• TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA
• Clifford Algebras and Lie Theory
• Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups
• Lie superalgebras

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