Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices

DOI10.1063/1.1430046zbMath1059.17018arXivmath-ph/0311015OpenAlexW2028073283MaRDI QIDQ4830727

Edita Pelantová, J. Tolář, Jirí Patera, Miloslav Havlíček

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0311015

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70)

Related Items

Gradings on \(\mathfrak {g}_2\) ⋮ Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\) ⋮ Gradings on the Albert algebra and on \(\mathfrak{f}_4\) ⋮ On Pauli graded contractions of sl(3, C) ⋮ Weyl groups of some fine gradings on \(\mathfrak{e}_6\) ⋮ Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra. ⋮ Clifford group is not a semidirect product in dimensions N divisible by four ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ Gradings on simple Jordan and Lie algebras ⋮ On the structure of graded Lie algebras ⋮ Bootstrapping BPS spectra of 5d/6d field theories ⋮ On the Structure of Graded Leibniz Algebras ⋮ The symmetries of the fine gradings of sl(nk,C) associated with direct product of Pauli groups ⋮ Fine grading of sl(p2,C) generated by tensor product of generalized Pauli matrices and its symmetries ⋮ The Weyl group of the fine grading of $sl(n,\mathbb {C})$sl(n,C) associated with tensor product of generalized Pauli matrices

Cites Work

• Quantum mechanics in a discrete space-time
• On Lie gradings. I
• On Lie gradings. II
• Automorphisms of finite order of semisimple Lie algebras
• On the Fine Gradings of Simple Classical Lie Algebras
• Graded contractions of symplectic Lie algebras in collective models
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• The four sets of additive quantum numbers of SU(3)
• The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
• Discrete and continuous graded contractions of representations of Lie algebras
• Graded contractions of sl(3,C)
• Graded contractions and kinematical groups of space–time
• Grading refinements in the contractions of Lie algebras and their invariants
• Graded contractions and the conformal group of Minkowski space–time

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