Generalized trace and modified dimension functions on ribbon categories
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Publication:427722
DOI10.1007/s00029-010-0046-7zbMath1248.18006arXiv1001.0985OpenAlexW2115775447MaRDI QIDQ427722
Nathan Geer, Bertrand Patureau-Mirand, Jonathan R. Kujawa
Publication date: 14 June 2012
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.0985
quantum grouptracedimensionribbon categoriesLie algebrasLie superalgebrasmodular representationstensor category
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Cites Work
- Unnamed Item
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- Unnamed Item
- Support varieties for restricted Lie algebras
- On certain quotients of the Green rings of dihedral 2-groups.
- An invariant supertrace for the category of representations of Lie superalgebras of type I
- \(\Pi\)-supports for modules for finite group schemes.
- Nilpotent elements in the Green ring
- Topological quantum field theory
- Quantum field theory and the Jones polynomial
- Indecomposable representations
- Tensor products of quantized tilting modules
- A determinantal formula for supersymmetric Schur polynomials
- Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
- Multiplicity-free products of Schur functions
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- Simulation of topological field theories by quantum computers
- Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
- Relative projectivity and ideals in cohomology rings
- Invariants of 3-manifolds via link polynomials and quantum groups
- Tensor envelopes of regular categories
- Representation and character theory in 2-categories
- On fusion categories.
- A diagrammatic approach to categorification of quantum groups II
- Cohomology and support varieties for Lie superalgebras
- A diagrammatic approach to categorification of quantum groups I
- Cohomology and support varieties for Lie superalgebras II
- Modified quantum dimensions and re-normalized link invariants
- THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
- Modular Representation Theory of Lie Algebras
- Axiomatic stable homotopy theory
- Topological quantum computation
- Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
- MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I
- Representations of Lie superalgebras in prime characteristic I
- Supports and filtrations in algebraic geometry and modular representation theory
- Crystal structures arising from representations of 𝐺𝐿(𝑚|𝑛)
- Certain representation algebras
- Lie superalgebras
- Quantum invariants of knots and 3-manifolds