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Invariant Theory and Superalgebras: Regional Conference (CBMS Regional Conference Series in Mathematics) - Softcover
Inhaltsangabe
This book brings the reader to the frontiers of research in some topics in superalgebras and symbolic method in invariant theory. Superalgebras are algebras containing positively-signed and negatively-signed variables. One of the book's major results is an extension of the standard basis theorem to superalgebras. This extension requires a rethinking of some basic concepts of linear algebra, such as matrices and coordinate systems, and may lead to an extension of the entire apparatus of linear algebra to signed modules.The authors also present the symbolic method for the invariant theory of symmetric and of skew-symmetric tensors. In both cases, the invariants are obtained from the symbolic representation by applying what the authors call the umbral operator. This operator can be used to systematically develop anticommutative analogs of concepts of algebraic geometry, and such results may ultimately turn out to be the main byproduct of this investigation. While it will be of special interest to mathematicians and physicists doing research in superalgebras, invariant theory, straightening algorithms, Young bitableaux, and Grassmann's calculus of extension, the book starts from basic principles and should therefore be accessible to those who have completed the standard graduate level courses in algebra and/or combinatorics.
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This book brings the reader to the frontiers of research in some topics in superalgebras and symbolic method in invariant theory. Superalgebras are algebras containing positively-signed and negatively-signed variables. One of the book's major results is an extension of the standard basis theorem to superalgebras. This extension requires a rethinking of some basic concepts of linear algebra, such as matrices and coordinate systems, and may lead to an extension of the entire apparatus of linear algebra to signed modules.The authors also present the symbolic method for the invariant theory of symmetric and of skew-symmetric tensors. In both cases, the invariants are obtained from the symbolic representation by applying what the authors call the umbral operator. This operator can be used to systematically develop anticommutative analogs of concepts of algebraic geometry, and such results may ultimately turn out to be the main byproduct of this investigation. While it will be of special interest to mathematicians and physicists doing research in superalgebras, invariant theory, straightening algorithms, Young bitableaux, and Grassmann's calculus of extension, the book starts from basic principles and should therefore be accessible to those who have completed the standard graduate level courses in algebra and/or combinatorics.
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- VerlagAmerican Mathematical Society
- Erscheinungsdatum1987
- ISBN 10 0821807196
- ISBN 13 9780821807194
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten80
- Kontakt zum HerstellerNicht verfügbar
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Invariant Theory and Superalgebras
Verlag:
American Mathematical Society(RI), 1987
ISBN 10: 0821807196
ISBN 13: 9780821807194
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Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.01. Bestandsnummer des Verkäufers G0821807196I3N00
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Invariant Theory and Superalgebras
Verlag:
American Mathematical Society, 1987
ISBN 10: 0821807196
ISBN 13: 9780821807194
Gebraucht
Softcover
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 33291360/203
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Invariant Theory and Superalgebras
Verlag:
American Mathematical Society, 1987
ISBN 10: 0821807196
ISBN 13: 9780821807194
Neu
Softcover
Anbieter: moluna, Greven, Deutschland
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Zustand: New. Superalgebras are algebras containing positively-signed and negatively-signed variables. This book contains some topics in superalgebras and symbolic method in invariant theory.KlappentextrnrnSuperalgebras are algebras containing positively-. Bestandsnummer des Verkäufers 2146028736
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Beispielbild für diese ISBN
Invariant Theory and Superalgebras
Verlag:
American Mathematical Society, 1987
ISBN 10: 0821807196
ISBN 13: 9780821807194
Gebraucht
Softcover
Anbieter: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. American Mathematical Society, 1987. This Book is in Good Condition. Normal wear to covers and edges, text is clean with no marks, binding tight. Not Ex-Library. 100% Guaranteed. paperback. Good. Bestandsnummer des Verkäufers 622076
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