Fast computation of weight multiplicities

DOI10.1016/S0747-7171(86)80003-7zbMath0639.17001MaRDI QIDQ1100268

Murray R. Bremner

Publication date: 1986

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

simple complex Lie algebrasirreducible modulesfast recursion formulamultiplicities of dominant weightsPascal implementation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (3)

Orbit–orbit branching rules for families of classical Lie algebra–subalgebra pairs ⋮ Structure of certain Weyl modules for the spin groups ⋮ Orbit–orbit branching rules between simple low-rank algebras and equal-rank subalgebras

Uses Software

• FREUD
• liealgebra

Cites Work

• The maximal subgroups of the classical groups
• Fast recursion formula for weight multiplicities
• Weight diagrams for lie group representations: A computer implementation of Freudenthal's algorithm in ALGOL and FORTRAN
• Determining multiplicities of dominant weights in irreducible lie algebra representations using a computer
• Introduction to Lie Algebras and Representation Theory
• Computers in Lie algebras. I: Calculation of Inner Multiplicities
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