Homogeneous Integral Table Algebras of Degree Three: A Trilogy

Released on by Harvey I. Blau
preview-18

  • Homogeneous Integral Table Algebras of Degree Three: A Trilogy Book Detail

  • Author : Harvey I. Blau
  • Release Date : 2000
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 109
  • ISBN 13 : 0821820214
  • File Size : 23,23 MB
DOWNLOAD BOOK

Homogeneous Integral Table Algebras of Degree Three: A Trilogy by Harvey I. Blau PDF Summary

Book Description: Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism oforder three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism.

Disclaimer: www.yourbookbest.com does not own Homogeneous Integral Table Algebras of Degree Three: A Trilogy books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Groups St Andrews 2001 in Oxford: Volume 1

Groups St Andrews 2001 in Oxford: Volume 1

File Size : 70,70 MB
Total View : 7596 Views
DOWNLOAD

This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the Uni

Advances in Algebra

Advances in Algebra

File Size : 69,69 MB
Total View : 3559 Views
DOWNLOAD

This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by