ISSN:
1432-1785
Keywords:
Mathematics Subject Classification (1991):11E39, 16K20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract: The involutions in this paper are algebra anti-automorphisms of period two. Involutions on endomorphism algebras of finite-dimensional vector spaces are adjoint to symmetric or skew-symmetric bilinear forms, or to hermitian forms. Analogues of the classical invariants of quadratic forms (discriminant, Clifford algebra, signature) have been defined for arbitrary central simple algebras with involution. In this paper it is shown that over certain fields these invariants are sufficient to classify involutions up to conjugation. For algebras of low degree a classification is obtained over an arbitrary field.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002290050199
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