SKEIN THEORY AND THE MURPHY OPERATORS

DOI10.1142/S0218216502001767zbMath1025.57012arXivmath/0102098OpenAlexW2059757761MaRDI QIDQ4549827

Hugh R. Morton

Publication date: 25 November 2003

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102098

zbMATH Keywords

Hecke algebrasskein theoryMurphy operators

Mathematics Subject Classification ID

Related Items (8)

Homflypt skein theory, string topology and 2-categories ⋮ Categorification of the elliptic Hall algebra ⋮ Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology ⋮ Torus knots in lens spaces and topological strings ⋮ Homfly polynomials of generalized Hopf links ⋮ DAHAs and skein theory ⋮ The skein category of the annulus ⋮ Evaluations of annular Khovanov-Rozansky homology

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• A new construction of Young's seminormal representation of the symmetric groups
• Representations of braid groups and the quantum Yang-Baxter equation
• Hecke algebras, modular categories and 3-manifolds quantum invariants
• IDEMPOTENTS OF HECKE ALGEBRAS OF TYPE A
• Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
• On the skeins in the annulus and applications to invariants of 3-manifolds
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• The fundamental invariant of the Hecke algebra Hn(q) characterizes the representations of Hn(q), S n, SUq(N), and SU(N)

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