A NEW PROOF OF THE FAITHFULNESS OF BRAUER'S REPRESENTATION OF TEMPERLEY–LIEB ALGEBRAS

DOI10.1142/S0218196706003281zbMath1107.57009arXivmath/0204214MaRDI QIDQ3421605

Kosta Došen, Zoran Petrić, Žana Kovijanić

Publication date: 7 February 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204214

zbMATH Keywords

Temperley-Lieb algebrasrepresentationmatriceslinear independence

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vector spaces, linear dependence, rank, lineability (15A03) Representation theory of associative rings and algebras (16G99)

Related Items (1)

Coherence for closed categories with biproducts

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• On the structure of Brauer's centralizer algebras
• Self-adjunctions and matrices.
• Index for subfactors
• On algebras which are connected with the semisimple continuous groups
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• Kauffman Monoids
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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