Reduced Wigner coefficients for Lie superalgebragl(m|n) corresponding to unitary representations and beyond

DOI10.1088/1751-8121/aa8119zbMath1425.17012arXiv1705.05956OpenAlexW2614949398MaRDI QIDQ5369077

Phillip S. Isaac, Jason L. Werry, Mark D. Gould

Publication date: 12 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05956

zbMATH Keywords

representation theoryLie superalgebrasWigner coefficients

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras, Invariants and matrix elements of the quantum group $U_q[gl(n,\mathbb{C})$ revisited], Explicit generators of the centre of the quantum group, The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite size properties of staggered \(U_q[sl(21)\) superspin chains]
• \(R\)-matrices and spectrum of vertex models based on superalgebras
• Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain
• The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
• On the percolation BCFT and the crossing probability of Watts
• Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model
• The theory of Lie superalgebras. An introduction
• Classification of all star irreps of gl(m‖n)
• Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)
• On an infinitesimal approach to semisimple Lie groups and raising and lowering operators of O(n) and U(n)
• The characteristic identities and reduced matrix elements of the unitary and orthogonal groups
• Wigner coefficients for a semisimple Lie group and the matrix elements of the O(n) generators
• On the matrix elements of the U(n) generators
• Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)
• On the Representations of the Semisimple Lie Groups. II
• Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
• Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)
• Introduction to Lie Algebras and Representation Theory