Computation of irreducible decompositions of permutation representations of wreath products of finite groups

DOI10.1134/S0965542520010108zbMath1450.81070OpenAlexW3013532821MaRDI QIDQ2206412

Vladimir V. Kornyak

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520010108

zbMATH Keywords

primitive idempotentspermutation representationcomputational group theorywreath product of groupscentralizer ringdecomposition into irreducible subrepresentations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Representations of finite symmetric groups (20C30) Computational methods for problems pertaining to quantum theory (81-08) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Extensions, wreath products, and other compositions of groups (20E22) General theory for finite permutation groups (20B05) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items

Dynamic simulation of quantum entanglement in finite quantum mechanics: a computer algebra approach

Uses Software

• ATLAS Group Representations

Cites Work

• Building up spacetime with quantum entanglement
• Splitting permutation representations of finite groups by polynomial algebra methods
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