Deligne categories and the periplectic Lie superalgebra
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Publication:5155005
zbMath1472.18014arXiv1807.09478MaRDI QIDQ5155005
Inna Entova Aizenbud, Vera V. Serganova
Publication date: 5 October 2021
Full work available at URL: https://arxiv.org/abs/1807.09478
tensor categoriesDeligne categoriesperiplectic Lie superalgebraDuflo-Serganova functorstabilization in representation theory
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Simple, semisimple, reductive (super)algebras (17B20) Monoidal categories, symmetric monoidal categories (18M05)
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Cites Work
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- Representation theory in complex rank. II
- Finite-dimensional representations of periplectic Lie superalgebras
- Monoidal supercategories
- A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
- Tensor ideals, Deligne categories and invariant theory
- The first fundamental theorem of invariant theory for the orthosymplectic super group
- Affine periplectic Brauer algebras
- Noetherianity of some degree two twisted skew-commutative algebras
- On representations of the Lie superalgebra \(p\)(\(n\))
- Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
- The periplectic Brauer algebra. III: The Deligne category
- The Capelli eigenvalue problem for Lie superalgebras
- The affine VW supercategory
- Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
- Superdistributions, analytic and algebraic super Harish-Chandra pairs
- The periplectic Brauer algebra. II: Decomposition multiplicities
- On the Superdimension of an Irreducible Representation of a Basic Classical Lie Superalgebra
- Algebraic Groups
- Complexity and Module Varieties for Classical Lie Superalgebras
- The periplectic Brauer algebra
- Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers
- Deligne Categories and the Limit of Categories Rep(GL(m|n))
- Classical Lie superalgebras at infinity
- Tensor Categories
- The marked Brauer category
- The center of a simple \(P\)-type Lie superalgebra.