[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.3.453

SCALAR EXTENSION OF SCHUR ALGEBRAS

Choi, Eun-Mi (DEPARTMENT OF MATHMATHICS, HANNAM UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 453-467 More about this Journal

Abstract

Let K be an algebraic number field. If k is the maximal cyclotomic subextension in K then the Schur K-group S(K) is obtained from the Schur k-group S(k) by scalar extension. In the paper we study projective Schur group PS(K) which is a generalization of Schur group, and prove that a projective Schur K-algebra is obtained by scalar extension of a projective Schur k-algebra where k is the maximal radical extension in K with mild condition.

Keywords

Schur algebra; projective Schur algebra; projective character;

Citations & Related Records

Reference

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