Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (\(\dot 0_m| \dot \alpha_n\)) representations of \(U_q[gl(m| n)]\)

DOI10.1016/S0010-4655(01)00463-5zbMath1195.81076arXivmath/0101027MaRDI QIDQ1603269

David De Wit

Publication date: 11 July 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101027

zbMATH Keywords

quantum superalgebralink invariantquantum \(R\) matrix

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (4)

A Poincaré–Birkhoff–Witt commutator lemma for Uq[gl(m|n)] ⋮ Other quantum relatives of the Alexander polynomial through the Links-Gould invariants ⋮ WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS ⋮ Infinitely many two-variable generalisations of the Alexander-Conway polynomial

Uses Software

• Mathematica

Cites Work

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• Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
• Universal \(R\)-matrix for quantized (super)algebras
• Universal R-matrices for quantum groups associated to simple Lie superalgebras
• Two variable link polynomials from quantum supergroups
• Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
• Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)\) and related \(q\)-identities]
• Integrable electron model with correlated hopping and quantum supersymmetry.
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• ON TYPE I QUANTUM AFFINE SUPERALGEBRAS
• Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
• Graded Lie algebras: Generalization of Hermitian representations
• Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
• A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry
• On the Links–Gould Invariant of Links
• Solutions of the Yang-Baxter equation with extra nonadditive parameters. II. U_q(gl(m/n))
• An Infinite Suite of Links–Gould Invariants
• Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings
• Finite-dimensional representations of quantum affine algebras
• Solutions of the quantum Yang-Baxter equation with extra nonadditive parameters
• Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials
• Lie superalgebras

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