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On Normalized Integral Table Algebras (Fusion Rings) Generated by a Faithful Non-real Element of Degree 3 /
The theory of table algebras was introduced in 1991 by Z. Arad and H.Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with various applications, including ...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Algebra and Applications,
16 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-85729-850-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220117035239.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110718s2011 xxk| s |||| 0|eng d | ||
| 020 | |a 9780857298508 |9 978-0-85729-850-8 | ||
| 024 | 7 | |a 10.1007/978-0-85729-850-8 |2 doi | |
| 050 | 4 | |a QA150-272 | |
| 072 | 7 | |a PBF |2 bicssc | |
| 072 | 7 | |a MAT002000 |2 bisacsh | |
| 072 | 7 | |a PBF |2 thema | |
| 082 | 0 | 4 | |a 512 |2 23 |
| 100 | 1 | |a Arad, Zvi. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a On Normalized Integral Table Algebras (Fusion Rings) |h [electronic resource] : |b Generated by a Faithful Non-real Element of Degree 3 / |c by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a London : |b Springer London : |b Imprint: Springer, |c 2011. | |
| 300 | |a X, 274 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Algebra and Applications, |x 2192-2950 ; |v 16 | |
| 505 | 0 | |a Introduction -- Splitting the Main Problem into Four Sub-cases -- A Proof of a Non-existence Sub-case (2) -- Preliminary Classification of Sub-case (2) -- Finishing the Proofs of the Main Results. | |
| 520 | |a The theory of table algebras was introduced in 1991 by Z. Arad and H.Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups. Today, table algebra theory is a well-established branch of modern algebra with various applications, including the representation theory of finite groups, algebraic combinatorics and fusion rules algebras. This book presents the latest developments in this area. Its main goal is to give a classification of the Normalized Integral Table Algebras (Fusion Rings) generated by a faithful non-real element of degree 3. Divided into 4 parts, the first gives an outline of the classification approach, while remaining parts separately treat special cases that appear during classification. A particularly unique contribution to the field, can be found in part four, whereby a number of the algebras are linked to the polynomial irreducible representations of the group SL3(C). This book will be of interest to research mathematicians and PhD students working in table algebras, group representation theory, algebraic combinatorics and integral fusion rule algebras. | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Commutative algebra. | |
| 650 | 0 | |a Commutative rings. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Graph theory. | |
| 650 | 1 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Commutative Rings and Algebras. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Graph Theory. |
| 700 | 1 | |a Bangteng, Xu. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Chen, Guiyun. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Cohen, Effi. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Haj Ihia Hussam, Arisha. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Muzychuk, Mikhail. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781447127031 |
| 776 | 0 | 8 | |i Printed edition: |z 9780857298492 |
| 776 | 0 | 8 | |i Printed edition: |z 9780857298515 |
| 830 | 0 | |a Algebra and Applications, |x 2192-2950 ; |v 16 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-85729-850-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||