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Scalar extension of Schur algebras
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Abstract
If k is the maximal cyclotomic subextension in K then theSchur K-group S(K) is obtained from the Schur k-group S(k)by scalar extension. In the paper we study projective Schur groupPS(K) which is a generalization of Schur group, and prove that aprojective Schur K-algebra is obtained by scalar extension of aprojective Schur k-algebra where k is the maximal radicalextension in K with mild condition.
참고문헌 (6)
- "Encyclopedia of Mathematics and its applications 22" (1984)
- "\it Einfache Algebren und projektive Darstellungen \", pp.175~ (1978)
- "\it The Schur group of a field of characteristic zero}", pp.471~ (1978)
- "\it The linear and quadratic Schur subgroups over the $S$-integers of a number field}", pp.83~ (1989)
- "\it Cohomology of groups}" (1969), Academic Press
- "\it The Schur subgroup of the Brauer group} Lecture Notes in Mathematics 397" (1974), Springer-Verlag
관련 논문AI추천
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