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Combinatorics and algebra / [electronic resource] Curtis Greene, editor.

Contributor(s): Greene, Curtis | AMS-NSF Joint Summer Research Conference on Combinatorics and Algebra (1983 : University of Colorado) | American Mathematical Society | National Science Foundation (U.S.)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 34.Publication details: Providence, R.I. : American Mathematical Society, c1984Description: 1 online resource (x, 318 p. : ill.)ISBN: 9780821876190 (online)Subject(s): Algebra -- Congresses | Combinatorial analysis -- Congresses | Representations of groups -- Congresses | Representations of algebras -- CongressesAdditional physical formats: Combinatorics and algebra /DDC classification: 513 LOC classification: QA150 | .C647 1984Online resources: Contents | Contents

Contents:

An introduction to the complex representations of the symmetric group and general linear Lie algebra / Phil Hanlon -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777691 The cyclotomic identity / N. Metropolis and Gian-Carlo Rota -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777692 Arrangements of hyperplanes and differential forms / Peter Orlik, Louis Solomon and Hiroaki Terao -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777693 Double centralizing theorems for wreath product / Amitai Regev -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777694 On the construction of the maximal weight vectors in the tensor algebra of ${\rm gl}_n({\bf C})$ / Phil Hanlon -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777695 The $q$-Dyson conjecture, generalized exponents, and the internal product of Schur functions / Richard P. Stanley -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777696 Spherical designs and group representations / Eiichi Bannai -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777697 Algorithms for plethysm / Y. M. Chen, A. M. Garsia and J. Remmel -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777698 Combinatorial correspondences for Young tableaux, balanced tableaux, and maximal chains in the weak Bruhat order of $S_n$ / Paul Edelman and Curtis Greene -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777699 Constructions on rim hook tableaux / Dennis E. White -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777700 Orderings of Coxeter groups / Anders Bj�orner -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777701 Modularly complemented lattices and shellability / Dennis Stanton and Michelle Wachs -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777702 Counting faces and chains in polytopes and posets / Margaret M. Bayer and Louis J. Billera -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777703 The combinatorics of $(k,l)$-hook Schur functions / Jeffrey B. Remmel -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777704 Multipartite $P$-partitions and inner products of skew Schur functions / Ira M. Gessel -- http://www.ams.org/conm/034/ http://dx.doi.org/10.1090/conm/034/777705

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11310

"Proceedings of the AMS-NSF Joint Summer Research Conference on Combinatorics and Algebra, held at the University of Colorado, Boulder, during June 5-11, 1983"--Introd.

Includes bibliographies.

An introduction to the complex representations of the symmetric group and general linear Lie algebra / Phil Hanlon -- The cyclotomic identity / N. Metropolis and Gian-Carlo Rota -- Arrangements of hyperplanes and differential forms / Peter Orlik, Louis Solomon and Hiroaki Terao -- Double centralizing theorems for wreath product / Amitai Regev -- On the construction of the maximal weight vectors in the tensor algebra of ${\rm gl}_n({\bf C})$ / Phil Hanlon -- The $q$-Dyson conjecture, generalized exponents, and the internal product of Schur functions / Richard P. Stanley -- Spherical designs and group representations / Eiichi Bannai -- Algorithms for plethysm / Y. M. Chen, A. M. Garsia and J. Remmel -- Combinatorial correspondences for Young tableaux, balanced tableaux, and maximal chains in the weak Bruhat order of $S_n$ / Paul Edelman and Curtis Greene -- Constructions on rim hook tableaux / Dennis E. White -- Orderings of Coxeter groups / Anders Bj�orner -- Modularly complemented lattices and shellability / Dennis Stanton and Michelle Wachs -- Counting faces and chains in polytopes and posets / Margaret M. Bayer and Louis J. Billera -- The combinatorics of $(k,l)$-hook Schur functions / Jeffrey B. Remmel -- Multipartite $P$-partitions and inner products of skew Schur functions / Ira M. Gessel --