PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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