Combinatorics of coxeter groups / by Anders Björner and Francesco Brenti.

By:

Björner, Anders [author.]

Contributor(s):

Brenti, Francesco [co-author.]

Material type: Text

TextLanguage: English Series: Graduate texts in mathematics ; 231Publication details: New York : Springer, 2005.Description: xii, 363 p. : ill. ; 25 cmISBN:

9783642079221

Subject(s):

Other classification:

B27 P5 NBHM

Summary: Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups. The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Home library	Call number	Status	Barcode
Textual	Faculty of Mathematical Sciences Library	Central Science Library	B27 P5 NBHM (Browse shelf(Opens below))	Available	SL1656220

Browsing Central Science Library shelves Close shelf browser (Hides shelf browser)

Previous								Next
Previous	B25,1 R3 Linear algebra tools for data mining	B26170bG N7;R1 Randomization, bootstrap and monte carlo methods in biology	B27 N7 NBHM Young tableaux : with applications to representation theory and geometry	B27 P5 NBHM Combinatorics of coxeter groups	B27 P8 NBHM Geometry and topology of coxeter groups	B27 Q6 NBHM Representation theory of finite monoids	B27 Q7 NBHM Algebraic groups: The theory of group schemes of finite type over a field	Next

Includes bibliographical references (p. [323]-351) and indexes.

Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups.

The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers.

There are no comments on this title.

to post a comment.