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An Introduction to Leavitt Path Algebras

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Tori Pierce Reany, Saint Louis University

What
  • Algebra Seminar
When Thu, Nov 15, 2012
from 02:10 PM to 03:00 PM
Where Ritter Hall 134
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Abstract. Let  E  be a directed graph and  K  be any field.
I will begin by defining the Leavitt path algebra of  E with
coefficients in  K,  denoted by  L_K(E),  and by giving examples of L_K(E)  for various directed graphs  E.  The K-algebra  L_K(E)  is generated by the vertices, edges, and ghost edges of  E  satisfying certain relations.  So what do the elements of  L_K(E)  look like?

I will show what multiplication means between the vertices, edges, and ghost of edges of  E, hence showing how to multiply arbitrary generating elements of  L_K(E).

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