For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.
|Title:||Algebraic structures connected with pairs of compatible associative algebras|
|Speaker:||Alexander Odesski, Brock University|
|We study associative multiplications in semi-simple associative algebras over C compatible with the usual one or, in other words, linear deformations of semi-simple associative algebras over C. It turns out that these deformations are in one-to-one correspondence with representations of certain algebraic structures, which we call M-structures in the matrix case and PM-structures in the case of direct sums of several matrix algebras. We also investigate various properties of PM-structures, provide numerous examples and describe an important class of PM-structures. The classification of these PM-structures naturally leads to affine Dynkin diagrams of A, D, E-type.|
Room Reservation Information
|Date:||12 / 08 / 2009|
|Time:||02:30pm - 03:30pm|