ORTHOGONAL DECOMPOSITIONS AND IDEMPOTENT CONFIGURATIONS IN SEMISIMPLE ASSOCIATIVE ALGEBRAS

DOI10.1081/AGB-100105978zbMath1055.16005MaRDI QIDQ2769796

D. N. Ivanov

Publication date: 2001

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

group ringsorthogonal decompositionsbalanced systems of idempotents

Mathematics Subject Classification ID

Group rings (16S34) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Finite-dimensional division rings (16K20)

Related Items (2)

On balanced bases ⋮ Orthogonal decompositions and idempotent configurations in semisimple associative algebras.

Cites Work

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• Affine resolvable balanced incomplete block designs: a survey
• Orthogonal decompositions and integral lattices
• On the construction of certain Hadamard designs
• Spreads, Translation Planes and Kerdock Sets. II
• Spreads, Translation Planes and Kerdock Sets. I
• Orthogonal Matrices with Zero Diagonal
• Orthogonal Matrices with Zero Diagonal. II

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