Webs and $q$-Howe dualities in types $\mathbf {BCD}$

DOI10.1090/tran/7583zbMath1472.17061arXiv1701.02932OpenAlexW3122092685MaRDI QIDQ4633782

Daniel Tubbenhauer, Antonio Sartori

Publication date: 6 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02932

zbMATH Keywords

webscoideal subalgebrasdiagrammatic presentation(quantum) Brauer algebras(quantum) Howe dualityclassical Lie type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (14)

On webs in quantum type C ⋮ Symmetric Khovanov-Rozansky link homologies ⋮ Based modules over the \(\imath\) quantum group of type AI ⋮ Annular webs and Levi subalgebras ⋮ Oscillator representations of quantum affine orthosymplectic superalgebras ⋮ On the structure and representation theory of \(q\)-deformed Clifford algebras ⋮ Handlebody diagram algebras ⋮ Categorification: tangle invariants and TQFTs ⋮ Webs of type Q ⋮ A closed formula for the evaluation of foams ⋮ Presentations of categories of modules using the Cautis-Kamnitzer-Morrison principle ⋮ On representations of $U’_q\mathfrak {so}_n$ ⋮ Webs for permutation supermodules of type Q ⋮ Geometric Howe dualities of finite type

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