Tensor product of the Fock representation with its dual and the Deligne category

DOI10.1007/978-3-030-78148-4_19zbMath1497.17013arXiv1908.11509OpenAlexW2970178596MaRDI QIDQ2091285

Vera V. Serganova

Publication date: 1 November 2022

Full work available at URL: https://arxiv.org/abs/1908.11509

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

• Hodge cycles, motives, and Shimura varieties
• Categorical actions and multiplicities in the Deligne category \(\underline{Rep}(G L_t)\)
• Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor
• Categories of finite dimensional weight modules over type I classical Lie superalgebras
• Deligne’s category \underline{𝑅𝑒}𝑝(𝐺𝐿_{𝛿}) and representations of general linear supergroups
• Tensor Representations of Classical Locally Finite Lie Algebras
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Deligne Categories and the Limit of Categories Rep(GL(m|n))
• Integrable sl(∞)‐modules and category O for gl(m|n)

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