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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.27 No.1
- 발행연도
- 2017.1
- 수록면
- 1 - 6 (6page)
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초록· 키워드
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Let G be a topological group, let π1, π2, . . . , πn be pairwise inequivalent bounded irreducible representations of G in finite-dimensional complex vector spaces E1, E2, . . . , En, respectively, and let M(G) be the measure algebra of G. Denote by the same symbols πi, i = 1, 2, . . . , n, the extensions of the group representations πi of G to representations of the measure algebraM(G). It is proved that in this case, π(M(G)) = +ni=1B(Ei).
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참고문헌 (5)
참고문헌 신청
S. S. Akbarov / 2016 / Private communication
V. Lomonosov / 2004 / The simplest proof of Burnside’s theorem on matrix algebras / Linear Algebra Appl 383:45~47
P. Etingof / 2011 / Introduction to Representation Theory / Student Mathematical Library 59
S. Lang, Algebra / 2002 / Graduate Texts in Mathematics, 211 / Springer-Verlag
J. Dixmier / 1969 / Les C¤-alg`ebres et leurs repr´esentations, Deuxi`eme ´edition / Cahiers Scientifiques, Fasc 29
V. Lomonosov / 2004 / The simplest proof of Burnside’s theorem on matrix algebras / Linear Algebra Appl 383:45~47
P. Etingof / 2011 / Introduction to Representation Theory / Student Mathematical Library 59
S. Lang, Algebra / 2002 / Graduate Texts in Mathematics, 211 / Springer-Verlag
J. Dixmier / 1969 / Les C¤-alg`ebres et leurs repr´esentations, Deuxi`eme ´edition / Cahiers Scientifiques, Fasc 29
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