Ph.D Thesis | |

Ph.D Student | Shpigelman Yuval |
---|---|

Subject | On the Codimension Growth of G-Graded Algebras |

Department | Department of Mathematics |

Supervisor | PROF. Eli Aljadeff |

Let *W* be an
affine PI algebra over a field of characteristic zero graded by a finite group *G*.

In the first part of
the thesis we show that there exist nonnegative numbers *a _{1 }, a_{2
, }a* half integer

In the second part
of the thesis, which is a joint work withYakov Karasik, we find the interpretation
of the half integer *b* in case that *W* is a finite dimensional *G*-simple
*F*-algebra. We prove that *c _{n}^{G}(W)~ an_{?}^{b
?}l^{n} *where