Trace Invariants of Finite-Dimensional Algebras

DOI10.1080/00927872.2015.1027390zbMath1346.17001OpenAlexW2343005167MaRDI QIDQ2813633

Ernst Dieterich

Publication date: 24 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027390

zbMATH Keywords

classificationgroupoidblock decompositionfinite-dimensional algebramodel equivalencetrace invariant map

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Embedding theorems, universal categories (18B15) Composition algebras (17A75) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Nonassociative division algebras (17A35) General theory of nonassociative rings and algebras (17A01) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

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• A general approach to finite-dimensional division algebras
• CLASSIFICATION, AUTOMORPHISM GROUPS AND CATEGORICAL STRUCTURE OF THE TWO-DIMENSIONAL REAL DIVISION ALGEBRAS
• On the classification of the real flexible division algebras
• Introduction to Lie Algebras and Representation Theory

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