0000000000481012

AUTHOR

Ivan Marin

showing 2 related works from this author

A cubic defining algebra for the Links–Gould polynomial

2013

Abstract We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links–Gould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

Essentially uniqueAlgebraMarkov chainGeneral MathematicsBraid groupGroup algebraBraid theoryInvariant (mathematics)Mathematics::Geometric TopologyQuotientMathematicsAdvances in Mathematics
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A cubic defining algebra for the Links-Gould polynomial

2012

We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links-Grould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT][MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA][ MATH.MATH-QA ] Mathematics [math]/Quantum Algebra [math.QA]Links-Gould polynomialGeometric Topology (math.GT)braid groupMathematics::Geometric TopologyMarkov traceMathematics - Geometric Topology57M27[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]Mathematics - Quantum AlgebraFOS: Mathematics[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]quantum invariantsQuantum Algebra (math.QA)knots and links[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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