Events

November 13, 2014 at 8:00 pm

Ring Theory: Semi-Invariant Matrices, Nov. 13

The Ohio University and Ohio State University Ring Theory Seminar presents Yuval Ginosar of University of Haifa (Israel) for two seminars in mid-November.

On Thursday, Nov. 13, he will give a talk on “Semi-invariant matrices” at Ohio University in Morton from 4 to 5 p.m.

Abstract: The semi-invariants of a module-algebra over a group G are the elements in its 1-dimensional constituents. These elements span a subalgebra, called the semi-center, which is graded by the linear characters of G. By studying the projective representations of G, we describe the semi-center of matrix algebras, or more generally of artinian semi-simple G-module-algebras. This is joint work with O. Schnabel.

On Friday, Nov. 14, he will speak on “Isotropy in group cohomology” at Ohio State University at 4:45 p.m.

Abstract: The analog of Lagrangians for symplectic forms over finite groups is motivated by the fact that symplectic G-forms with a normal Lagrangian N are in one-to-one correspondence, up to inflation, with bijective 1-cocycle data on the quotients G/N. This yields a method to construct groups of central type from such quotients, known as Involutive Yang-Baxter groups. Based on joint works with N. Ben David and E. Meir.

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