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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.3
- 발행연도
- 2017.1
- 수록면
- 451 - 482 (32page)
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We study relations between several p-adic variants of the semisimplicity of Banach algebras, Banach modules, unitary Banach representations, and the reductions of them. We give a criterion of the semisimplicity of a p-adic unitary representation of a topological monoid by using the reduction of the associated operator algebra. It yields an algorithm for determining whether a given finite dimensional p-adic unitary Banach representation of a compact p-adic Lie group is presentable as the orthogonal direct sum of absolutely irreducible subrepresentations or not.
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참고문헌 (14)
참고문헌 신청
F. W. Anderson / 1992 / Rings and Categories of Modules / Springer :13
G. Azumaya / 1951 / On Maximally Central Algebras / Nagoya Mathematical Journal 2:119~150
E.-A. Behrens / 1972 / Pure and Applied Mathematics, Volume 44 / Academic Press
S. Bosch / 1984 / Non-Archimedean Analysis A Systematic Approach to Rigid Analytic Geometry / Springer
K. McCrimmon / 2004 / A Taste of Jordan Algebras / Springer
G. Azumaya / 1951 / On Maximally Central Algebras / Nagoya Mathematical Journal 2:119~150
E.-A. Behrens / 1972 / Pure and Applied Mathematics, Volume 44 / Academic Press
S. Bosch / 1984 / Non-Archimedean Analysis A Systematic Approach to Rigid Analytic Geometry / Springer
K. McCrimmon / 2004 / A Taste of Jordan Algebras / Springer
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