Computing the indecomposable representations of left regular bands
 
 
Description:  Left regular bands are a family of semigroups that enjoy many surprising properties. They have received some attention recently due to their link with Markov chains and hyperplane arrangements. In this talk, we will see how to compute the indecomposable projective representations of finite left regular bands. After introducing the basic definitions and tools needed, we will define left regular bands and give some of their classical properties. We will then give formulas (due to Franco Saliola, 2007) used to construct complete sets of primitive orthogonal idempotents in left regular bands algebras. These sets, called eulerian families, correspond to the indecomposable projective representations of left regular bands over arbitrary fields.
Date:  2018-10-10
Start Time:   14:30
Speaker:  Herman Goulet-Ouellet (UC|UP PhD programme student)
Institution:  UC|UP PhD programme
Place:  Sala 2.5, DMat UC
See more:   <Main>   <UC|UP MATH PhD Program>  
 
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