A NEW ALGORITHM FOR DECOMPOSING MODULAR TENSOR PRODUCTS

DOI10.1017/S0004972720001379zbMath1467.15018OpenAlexW3118379378MaRDI QIDQ4999630

Michael J. J. Barry

Publication date: 7 July 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720001379

zbMATH Keywords

tensor productindecomposable representation

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Cites Work

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• Decomposing modular tensor products: `Jordan partitions', their parts and \(p\)-parts
• Decomposing modular tensor products, and periodicity of `Jordan partitions'
• On elementary divisors of the tensor product of two matrices
• The decomposition of products in the modular representation ring of a cyclic group of prime power order
• Elementary divisors of tensor products and \(p\)-ranks of binomial matrices.
• The modular representation algebra of a finite group
• Decomposing tensor products and exterior and symmetric squares
• On a Question of Glasby, Praeger, and Xia
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• On the jordan form of the tensor product over fields of prime characteristic
• Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
• Decomposition of Products of Modular Representations
• The Modular Representation Ring of a Cyclic p -Group

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