For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.
| Title: | Algebraic structures connected with pairs of compatible associative algebras |
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| Seminar: | GAP Seminar |
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| Speaker: | Alexander Odesski, Brock University |
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| Abstract: |
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| 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
| Room Number: | MB106 |
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| Date: | 12 / 08 / 2009 |
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| Time: | 02:30pm - 03:30pm |
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