On squares of representations of compact Lie algebras

DOI10.1063/1.4928410zbMath1325.17003arXiv1504.07732OpenAlexW3104095923MaRDI QIDQ2943424

Z. Zimborás, Robert Zeier

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1504.07732

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple, semisimple, reductive (super)algebras (17B20) Quantum control (81Q93)

Related Items (3)

On some properties of \(\operatorname{SU}(3)\) fusion coefficients ⋮ Universality of single-qudit gates ⋮ On the universality and membership problems for quantum gates

Cites Work

• Unitary designs and codes
• On the dual object of a compact connected group
• Some tips on the decomposition of tensor product representations of compact connected Lie groups
• Determining representations from invariant dimensions
• Determining summands in tensor products of Lie algebra representations
• On the dimension datum of a subgroup and its application to isospectral manifolds
• The Tannakian formalism and the Langlands conjectures
• The geometry and structure of isotropy irreducible homogeneous spaces
• Symmetry principles in quantum systems theory
• The maximal subgroups of the classical groups
• Semisimple subalgebras of semisimple Lie algebras
• Evenly distributed unitaries: On the structure of unitary designs
• The place of the adjoint representation in the Kronecker square of irreducible representations of simple Lie groups
• On sums of tensor and fusion multiplicities
• REPRESENTATION RINGS AS INVARIANTS FOR COMPACT GROUPS AND LIMIT RATIO THEOREMS FOR THEM
• Classification of Finite-Dimensional Irreducible Representations of Connected Complex Semisimple Lie Groups
• Algèbre
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On squares of representations of compact Lie algebras