The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
From MaRDI portal
Publication:3791304
DOI10.1063/1.528006zbMath0647.17004OpenAlexW2011520493WikidataQ29541098 ScholiaQ29541098MaRDI QIDQ3791304
Jirí Patera, Hans J. Zassenhaus
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528006
Related Items (38)
Free energy for a damped cold atom in \(\mathrm{SU}(2)\) non-abelian gauge potentials ⋮ Macroscopic approach to N-qudit systems ⋮ Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\) ⋮ Irrational conformal field theory ⋮ The four sets of additive quantum numbers of SU(3) ⋮ Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices ⋮ Quantum mechanics as a matrix symplectic geometry ⋮ The eight fine gradings of sl(4, C) and o(6, C) ⋮ Fine gradings of o(4,C) ⋮ On Lie gradings. I ⋮ New gradings of sl(3,C) representations ⋮ Orthogonal decomposition of some affine Lie algebras in terms of their Heisenberg subalgebras ⋮ The computer calculation of graded contractions of Lie algebras and their representations ⋮ Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras ⋮ On Pauli graded contractions of sl(3, C) ⋮ Generalized graph theory on Lie g and applications in conformal field theory ⋮ Clifford group is not a semidirect product in dimensions N divisible by four ⋮ Design of extended dense coding protocol strategy based on combinatorial optimization ⋮ The Lie algebra of the lowest transitively differential group of degree three * ⋮ \(\mathbb{Z}\)-graded identities of the Lie algebras \(U_1\) ⋮ Stabilizer codes and equientangled bases from phase states ⋮ Distribution and dynamics of entanglement in high-dimensional quantum systems using convex-roof extended negativity ⋮ Unnamed Item ⋮ Unbiased projector basis over \({\mathbb{C}}^ 3\). ⋮ SL (3, C ) generator matrix elements in a Pauli subgroup basis ⋮ Pauli gradings on Lie superalgebras and graded codimension growth ⋮ On \((\alpha,\beta,\gamma)\)-derivations of Lie algebras and corresponding invariant functions ⋮ Covariant mutually unbiased bases ⋮ Scheme for efficient construction of 2-dimensional qutrit cluster state ⋮ Trigonometric structure constants for new infinite-dimensional algebras ⋮ Twisted cocycles of Lie algebras and corresponding invariant functions ⋮ MULTIPARTITE QUANTUM SYSTEMS: PHASES DO MATTER AFTER ALL ⋮ On Lie gradings. III: Gradings of the real forms of classical Lie algebras ⋮ Casimir Elements for Some Graded Lie Algebras and Superalgebras ⋮ Quantum information: a brief overview and some mathematical aspects ⋮ On Lie gradings. II ⋮ Fine grading of sl(p2,C) generated by tensor product of generalized Pauli matrices and its symmetries ⋮ Representations of the quantum group \(\mathrm{GL}_q(2)\) for values of \(q\) on the unit circle
Cites Work
This page was built for publication: The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1