Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Matthew Gelvin (Bilkent)<\/p>\n
\u201cUnital biinvariant bases in source algebras of blocks-II\u201d<\/p>\n
Abstract: Every finite dimensional algebra over an infinite field has a basis consisting of units. If the algebra is interior for a finite p-group D, we say that it is a bipermutation D-algebra if there is a basis that is invariant under left and right D-multiplication. Such a basis may be viewed as a (D,D)-biset, and if the basis can be chosen to consist of units, it (almost) determines a saturated fusion system on D.<\/p>\n
This talk, based on joint work with Laurence Barker, will have two goals: To explain the material in the above paragraph in greater detail, and to show how certain structural properties of an algebra are equivalent to the existence of a unital biinvariant basis. The ultimate goal\u2013applying these results to the source algebra of a block\u2013will be outlined at the end, time permitting.<\/p>\n
Date: October 23, 2019 Wednesday
\nTime: 10:40
\nPlace: SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Algebra Seminar organized by the Department of Mathematics. Speaker: Matthew Gelvin (Bilkent) \u201cUnital biinvariant bases in source algebras of blocks-II\u201d Abstract: Every finite dimensional algebra over an infinite field has a basis consisting of units. If the algebra is interior [\u2026] <\/p>\n