Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements
Yu LI, Guiyun CHEN
Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements
We completely classify the normalized integral table algebra (A, B) generated by a faithful real element of degree 2 and having four linear elements.
Faithful / normalized / integral table algebra (ITA) / normalized integral table algebra (NITA) / classification
[1] |
Arad Z, Arisha H, Fisman E, Muzychuk M. Integral standard table algebras with a faithful nonreal element of degree 3. J Algebra, 2000, 231(2): 473–483
CrossRef
Google scholar
|
[2] |
Arad Z, Blau H I. On table algebras and application to _nite group theory. J Algebra, 1991, 138: 137–185
CrossRef
Google scholar
|
[3] |
Arad Z, Erez Y, Muzychuk M. On homogeneous standard integral table algebras of degree 4. Comm Algebra, 2006, 34(2): 463–519
CrossRef
Google scholar
|
[4] |
Arad Z, Fisman E, Blau H I. Table algebras and applications to products of characters in _nite groups. J Algebra, 1991, 138: 186–194
CrossRef
Google scholar
|
[5] |
Arad Z, Muzychuk M. Standard Integral Table Algebras Generated by a Non-real Element of Small Degree. Berlin: Springer-Verlag, 2002
CrossRef
Google scholar
|
[6] |
Arad Z, Xu B, Chen G, Hussam A H I, Muzychuk M. On Normalized Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-real Element of Degree 3. London: Springer-Verlag, 2011
CrossRef
Google scholar
|
[7] |
Blau H I. Quotient structures in C-algebra. J Algebra, 1995, 177: 297–337
CrossRef
Google scholar
|
[8] |
Blau H I. Integral table algebras, a_ne diagrams, and the analysis of degree two. J Algebra, 1995, 178: 872–918
CrossRef
Google scholar
|
[9] |
Blau H I. Homogeneous integral table algebras of degree two. Algebra Colloq, 1997, 4(4): 393–408
|
[10] |
Blau H I. Integral table algebras and Bose-Mesner algebras with a faithful nonreal element of degree 3. J Algebra, 2000, 231(2): 484–545
CrossRef
Google scholar
|
[11] |
Chen G, Arad Z. On four normalized table algebras generated by a faithful nonreal element of degree 3. J Algebra, 2005, 283: 457–484
CrossRef
Google scholar
|
[12] |
James G, Liebeck M. Representations and Characters of Groups. Cambridge: Cambridge Univ Press, 2001
CrossRef
Google scholar
|
[13] |
Li Y, Chen G. On normalized integral table algebras generated by a non-real faithful element of degree 2. Preprint
|
/
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