The pattern calculus for tensor operators in quantum groups
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Publication:4030962
DOI10.1063/1.529909zbMath0769.17008OpenAlexW2064262436WikidataQ60732526 ScholiaQ60732526MaRDI QIDQ4030962
L. C. Biedenharn, Mark D. Gould
Publication date: 1 April 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://espace.library.uq.edu.au/view/UQ:299671/UQ299671_OA.pdf
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
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Cites Work
- On q-tensor operators for quantum groups
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Quantum deformations of certain simple modules over enveloping algebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Quantum group invariants and link polynomials
- A pattern calculus for tensor operators in the unitary groups
- Tensor operators and projection techniques in infinite dimensional representations of semi-simple Lie algebras
- Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations
- Beyond the Enveloping Algebra of sl3
- Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus
- Multiplicity-free Wigner coefficients for semisimple Lie groups. II. A pattern calculus for O(n)
- New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)
- Tensor operators for quantum groups and applications
- Matrix elements and Wigner coefficients for U q[gl(n)]
- Canonical Definition of Wigner Coefficients in Un
- Characteristic Identities for Generators of GL(n), O(n) and Sp(n)
