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  3. Lectures in Mathematics : Department of Mathematics, Kyoto University
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dc.contributor.authorBrauer, Richarden
dc.contributor.otherTsuzuku, T.-
dc.contributor.otherNakayama, T.-
dc.contributor.otherFong, P.-
dc.contributor.otherMizutani, A.-
dc.contributor.otherIto, N.-
dc.date.accessioned2009-08-25T08:29:51Z-
dc.date.available2009-08-25T08:29:51Z-
dc.date.issued1979-
dc.identifier.urihttp://hdl.handle.net/2433/84917-
dc.descriptionNotes prepared by T. Tsuzuku, in cooperation with T. Nakayama, P. Fong, A. Mizutani, N. Itoen
dc.description.tableofcontentsI. Preliminariesen
dc.description.tableofcontents§1. Algebras and their representations [1-8]en
dc.description.tableofcontents§2. Representations of finite groups - classical theory [8-19]en
dc.description.tableofcontents§3. Cyclotomic splitting fields [19-30]en
dc.description.tableofcontentsII. Arithmetical Structureen
dc.description.tableofcontents§1. The numbers ω_i(K_α) [31]en
dc.description.tableofcontents§2. Modular representations and their characters [32-33]en
dc.description.tableofcontents§3. Transition from an ordinary representation to a modular one [33-34]en
dc.description.tableofcontents§4. Decomposition numbers and Cartan invariants [34-37]en
dc.description.tableofcontents§5. The number of irreducible modular characters [37-39]en
dc.description.tableofcontents§6. The chacacters Φ_⍴ [39-41]en
dc.description.tableofcontents§7. The p-rank of the matrix D of decomposition numbers [41-43]en
dc.description.tableofcontents§8. Blocks [43-46]en
dc.description.tableofcontents§9. Idempotents belonging to blocks [46-50]en
dc.description.tableofcontents§10. Defect of a block [50-52]en
dc.description.tableofcontents§11. The determinant of the matrix C of Cartan invariants [52-56]en
dc.description.tableofcontents§12. The elementary divisors of C and C_τ [56-63]en
dc.description.tableofcontents§13. The number of irreducible characters in a block [63-66]en
dc.description.tableofcontentsIII. Defect groups. Main theorem Aen
dc.description.tableofcontents§1. Blocks of G and those of subgroups [67-71]en
dc.description.tableofcontents§2. Defect groups of a block [71-78]en
dc.description.tableofcontents§3. Main Theorem A [78-81]en
dc.description.tableofcontentsIV. Generalized Decomposition Numbers, Main Theorem Ben
dc.description.tableofcontents§1. Generalized decomposition numbers [82-84]en
dc.description.tableofcontents§2. Sections [84-88]en
dc.description.tableofcontents§3. The matrix of generalized decomposition numbers [88-92]en
dc.description.tableofcontents§4. Main Theorem B [93]en
dc.description.tableofcontents§5. Some consequences [93-104]en
dc.description.tableofcontentsReferences [104-107]en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherKinokuniyaen
dc.subjectCharacters of groupsen
dc.subject.ndc410-
dc.titleTheory of group charactersen
dc.typebook-
dc.type.niitypeBook-
dc.identifier.jtitleLectures in Mathematicsen
dc.identifier.volume12-
dc.textversionpublisher-
dcterms.accessRightsopen access-
dc.relation.isIdenticalToBA03092676-
jpcoar.contributor.TypeOther-
jpcoar.contributor.TypeOther-
jpcoar.contributor.TypeOther-
jpcoar.contributor.TypeOther-
jpcoar.contributor.TypeOther-
jpcoar.contributor.NameTsuzuku, T.ja
jpcoar.contributor.NameNakayama, T.ja
jpcoar.contributor.NameFong, P.ja
jpcoar.contributor.NameMizutani, A.ja
jpcoar.contributor.NameIto, N.ja
Appears in Collections:Lectures in Mathematics : Department of Mathematics, Kyoto University

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