0000000001046473

AUTHOR

Loïc Rabenda

showing 1 related works from this author

Virtual and arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants

2021

Let [Formula: see text] be the algebra of Laurent polynomials in the variable [Formula: see text] and let [Formula: see text] be the algebra of Laurent polynomials in the variable [Formula: see text] and standard polynomials in the variables [Formula: see text] For [Formula: see text] we denote by [Formula: see text] the virtual braid group on [Formula: see text] strands. We define two towers of algebras [Formula: see text] and [Formula: see text] in terms of diagrams. For each [Formula: see text] we determine presentations for both, [Formula: see text] and [Formula: see text]. We determine sequences of homomorphisms [Formula: see text] and [Formula: see text], we determine Markov traces […

Pure mathematicsAlgebra and Number TheoryMarkov chainComputer Science::Information Retrieval010102 general mathematicsAstrophysics::Instrumentation and Methods for AstrophysicsComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)0102 computer and information sciences01 natural sciencesTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES010201 computation theory & mathematicsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputingMethodologies_DOCUMENTANDTEXTPROCESSINGArrowComputer Science::General Literature0101 mathematicsAlgebra over a fieldVirtual linkComputingMilieux_MISCELLANEOUSMathematicsVariable (mathematics)Journal of Knot Theory and Its Ramifications
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