Representation theory of finite monoids (Record no. 1431519)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02772cam a22003015i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 19286115 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250609150035.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160922s2016 nyu 000 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319439303 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CSL |
| Transcribing agency | CSL |
| 041 ## - LANGUAGE CODE | |
| Source of code | eng |
| Language code of text/sound track or separate title | eng |
| 084 ## - COLON CLASSIFICATION NUMBER | |
| Classification number | B27 Q6 NBHM |
| Assigning agency | CSL |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Steinberg, Benjamin. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Representation theory of finite monoids |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | New York : |
| Name of producer, publisher, distributor, manufacturer | Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxiv, 317 p. |
| Dimensions | 24 cm |
| 490 ## - SERIES STATEMENT | |
| Series statement | Universitext |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. <br/><br/>Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modernflavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | automata theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | finite monoids |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | monoid applications Markov chains |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | monoid applications automata theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | representation theory inverse monoids |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | zeta function languages |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Source of heading or term | monoid algebras |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Colon Classification (CC) |
| Suppress in OPAC | No |
| Koha item type | Textual |
| Classification part | B27 Q6 NBHM |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Colon Classification (CC) | Central Science Library | Faculty of Mathematical Sciences Library | 2025-01-13 | New India Book Agency | B27 Q6 NBHM | SL1656222 | 2025-06-09 | 2025-06-09 | Textual |