Substitutional Analysis (eBook)

Daniel Edwin Rutherford (Autor)

eBook Download: EPUB

2013
112 Seiten
Dover Publications (Verlag)
978-0-486-31633-8 (ISBN)

Infos

Classic monograph, suitable for advanced undergraduates and graduate students. Topics include calculus of permutations and tableaux, semi-normal representation, orthogonal and natural representations, group characters, and substitutional equations. 1968 edition.

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This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students of mathematics. The Bulletin of the American Mathematical Society hailed Daniel Edwin Rutherford's treatment as "e;a long overdue account of Young's representation theory of the symmetric group,"e; noting that "e;many of Young's complicated proofs have been simplified through a free use of mathematical induction."e;Starting with an elementary overview of the theory of the symmetric group, the book proceeds to an examination of Young's formula, followed by an introduction to the fundamental notion of a standard diagram. Subsequent chapters present the passage to orthogonal and natural representations. No prior knowledge of the general theory of group characters is assumed, and the author deduces the necessary theory for the symmetric group. The final chapter illustrates the substitutional aspect of the theory, and a helpful appendix and bibliography conclude the text.

Autor

Daniel Edwin Rutherford (1906–66) was Professor of Mathematics and Applied Mathematics at Scotland's University of St. Andrews. Substitutional Analysis is widely considered the most historically important of his many books.

Inhalt

PrefaceIntroductionI. The Calculus of PermutationsII. The Calculus of TableauxIII. The Semi-normal RepresentationsIV. The Orthogonal and Natural RepresentationsV. Group CharactersVI. Substitutional EquationsAppendix: Tables for the Case n = 3BibliographyIndex

Produkt-Details

• Erscheint lt. Verlag: 3.6.2013
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 150 x 150 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Schlagworte: advanced math education • advanced math education, young tableau, group theory, dover books on mathematics, standard algebra diagrams, symmetric group theory, youngs formula, orthogonal and natural representations, substitutional aspect of theory, algebra, advanced undergraduate math, mathematical theory, monograph, representation theory, symmetric group, undergraduate math, graduate math, complicated math made simple, mathematical induction • Algebra • Calculus • complicated math made simple • graduate math • Group characters • group theory • hyper octahedral group • Invariants • irreducible representation • Mathematical Induction • Mathematical Theory • matrix equations • molenaar • orthogonal and natural representations • permutations • proofs • Representation Theory • Substitutional Analysis • substitutional aspect of theory • Substitutional equations • Symmetric group • tableaux • The symmetric group • undergraduate math • youngs formula
• ISBN-10: 0-486-31633-5 / 0486316335
• ISBN-13: 978-0-486-31633-8 / 9780486316338