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010 a| 2003066740;

020 a| 9780821828717;

020 a| 0821828711 (Trade Paper)c| USD 61.00 Retail Price (Publisher)9| Active Record;

024 3 a| 9780821828717;

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049 a| EREEa| NEHH;

050 0 a| QA212.C35 2001;

082 00 a| 512.9/42| 22;

100 1 a| Lascoux, Alaine| Author=| ^A568574;

245 10 a| Symmetric Functions and Combinatorial Operators on Polynomialsh| [electronic resource];

260 a| Providence : b| American Mathematical Society;

300 a| 268 p.b| illc| 25.000 x 017.000 cm.;

440 0 a| CBMS Regional Conference Ser. in Mathematics Ser.v| 99;

506 a| Available only to authorized users.;

520 8 a| Annotationb| The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With $lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $lambda$-rings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Pade approximants, and orthogonal polynomials. Putting the emphasis on the symmetric group instead of symmetric functions, one can extend the theory to non-symmetric polynomials, with Schur functions being replaced by Schubert polynomials. In two independent chapters, the author describes the main properties of these polynomials, following either the approach of Newton and interpolation methods, or the method of Cauchy and the diagonalization of a kernel generalizing the resultant. The last chapter sketches a non-commutative version of symmetric functions, with the help of Young tableaux and the plactic monoid. The book also contains numerous exercises clarifying and extending many points of the main text.;

538 a| Mode of access: World Wide Web;

650 4 a| Symmetric Functions;

650 4 a| Polynomials;

650 4 a| Representations Of Groups;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from CBMS Regional Conference Series in Mathematics - Backfileu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fdx.doi.org%2F10.1090%2Fcbms%2F099;

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Symmetric Functions and Combinatorial Operators on Polynomials

Author/creator	Lascoux, Alain Author
Format	Electronic
Publication Info	Providence : American Mathematical Society
Description	268 p. ill 25.000 x 017.000 cm.
Supplemental Content	Full text available from CBMS Regional Conference Series in Mathematics - Backfile
Subjects	Symmetric Functions Polynomials Representations Of Groups

Series	CBMS Regional Conference Ser. in Mathematics Ser. 99
Summary	Annotation The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With $lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $lambda$-rings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Pade approximants, and orthogonal polynomials. Putting the emphasis on the symmetric group instead of symmetric functions, one can extend the theory to non-symmetric polynomials, with Schur functions being replaced by Schubert polynomials. In two independent chapters, the author describes the main properties of these polynomials, following either the approach of Newton and interpolation methods, or the method of Cauchy and the diagonalization of a kernel generalizing the resultant. The last chapter sketches a non-commutative version of symmetric functions, with the help of Young tableaux and the plactic monoid. The book also contains numerous exercises clarifying and extending many points of the main text.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2003066740
ISBN	9780821828717
ISBN	0821828711 (Trade Paper) Active Record
Standard identifier#	9780821828717
Stock number	00001436

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Symmetric Functions and Combinatorial Operators on Polynomials

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