q difference realizations of quantum algebras

Floreanini, R.; Vinet, L.

doi:10.1016/0370-2693(93)91616-U

q difference realizations of quantum algebras

R. Floreanini
(
- Trieste U.
)
,
L. Vinet
(
- Montreal U.
)

1993

5 pages

Published in:

Phys.Lett.B 315 (1993) 299-303

DOI:

10.1016/0370-2693(93)91616-U

View in:

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Abstract: (Elsevier)

The method for constructing differential realizations of totally symmetric representations of ordinary Lie algebras is extended to quantum algebras. The case of U q ( sl (2)) and U q ( sl (3)) are discussed in detail.

quantum algebra: SL(2)
quantum algebra: SL(3)
algebra: representation

References(16)

Figures(0)

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q difference realizations of quantum algebras

Citations per year

Compact Lie Groups and Their Representations

New Findings in Quantum Mechanics (Partial Algebraization of the Spectral Problem)

Quantum Group Structure in the Fock Space Resolutions of Sl(nnn) Representations

Diagonalization of the XXZ Hamiltonian by vertex operators

Vertex Operators in Solvable Lattice Models

Heisenberg Realization for U q ( sl n ) on the Flag Manifold

A q difference analog of U(g) and the Yang-Baxter equation

A q Analog of u (Gl (n+1)), Hecke Algebra and the Yang-Baxter Equation

Basic Hypergeometric Series

Quantum Groups and Non-Commutative Geometry

Covariant Differential Calculus on the Quantum Hyperplane

Quantum Group Structure in the Fock Space Resolutions of Sl( $n$ ) Representations