For more information about this meeting, contact Karl Schwede, Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title: | Pieri maps and their relations |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Graham Leuschke, Syracuse University |

Abstract: |

The irreducible polynomial representations L^\alpha V of GL(V)
are well-known to be indexed by partitions \alpha. The Pieri rule for
decomposing tensor products of V with L^\alpha V into irreducibles defines,
up to some choices of scalars, a system of split surjections onto those
representations related by adding a single box to the partition. The
scalars cannot be chosen with complete freedom; in particular there are
some unavoidable non-commutativity relations among the Pieri maps. We
build a quiver out of the data of partitions, maps, and relations, and show
that the path algebra of this bound quiver is derived equivalent to a
certain Grassmannian. This is joint work with Ragnar-Olaf Buchweitz and Michel Van den Bergh. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 03 / 27 / 2014 |

Time: | 11:15am - 12:05pm |