The University of Arizona

Lie Algebra and Representations, with a focus on recent results for the Virasoro Lie Algebra

Lie Algebra and Representations, with a focus on recent results for the Virasoro Lie Algebra

Series: Mathematics Colloquium
Location: Math 501
Presenter: Matthew Ondrus, Weber State University, Ogden, Utah

Lie algebras were introduced by Sophus Lie and Wilhelm Killing in the late 19th century.  Although they can be defined geometrically and are related to a wide variety of mathematical areas, Lie algebras can be defined in purely algebraic terms, much like groups and rings.  In this talk, we will define the concept of a Lie algebra as well as the notion of a representation of a Lie algebra.  We will discuss some well-known examples of representations along with one new class of representations of a Lie algebra known as the Virasoro algebra.

Refreshments in Math Commons Room at 3:30pm

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