Some character theory for groups of linear and antilinear operators

DOI10.1063/1.525790zbMath0569.20037OpenAlexW1982113368MaRDI QIDQ3686892

J. D. Newmarch

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525790

zbMATH Keywords

charactersdouble point groupslinear and antilinear operatorsfinite magnetic groups

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Other geometric groups, including crystallographic groups (20H15) Applications of linear algebraic groups to the sciences (20G45)

Related Items (1)

On the 3j symmetries

Cites Work

• Complex conjugation of group representations by inner automorphisms
• Real-valued characters and the Schur index
• Multiplicity free representations of finite groups
• The Racah algebra for groups with time reversal symmetry. III
• j symbols and jm factors for all dihedral and cyclic groups
• Clebsch-Gordan coefficients for the corepresentations of Shubnikov point groups
• A new look at unitary-antiunitary representations of groups and their construction
• The Racah algebra for groups with time reversal symmetry
• The character table for the corepresentations of magnetic groups
• Coupling coefficients and tensor operators for chains of groups
• Criteria for Groups with Representations of the Second Kind and for Simple Phase Groups
• Construction of the symmetry groups of polymer molecules
• Symmetrized Kronecker Products of Group Representations
• Racah Algebra for an Arbitrary Group
• Corepresentations of Magnetic Point Groups
• On the number of roots of certain equations in finite simply reducible groups
• On Projective Unitary-Antiunitary Representations of Finite Groups

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