[Turkmath:4149] Bilkent Cebir Semineri - Matthew Gelvin - 23.10.2019

[Bilkent Mathematics]

Değerli liste üyeleri,
 
Bilkent Matematik Bölümü Cebir Seminerleri kapsamında 23 Ekim'de Matthew Gelvin konuşmacı olacaktır.
 
 Matthew Gelvin (Bilkent Üniversitesi)

"Unital biinvariant bases in source algebras of blocks" 

Özet: 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.
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--applying these results to the source algebra of a block--will be outlined at the end, time permitting.


Tarih: 23 Ekim 2019 Çarşamba, 10:40

Bilkent Matematik Bölümü Seminer Odası SA - 141

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