%0 PDF %T The Centers of the Universal Enveloping Algebras for Contracted Lie Groups. %A Wolak, Mathew. %8 2017-04-20 %R http://localhost/files/cn69mg62j %X Abstract: Lie group contraction is a process by which Lie groups are ''flattened out''. This thesis finds the algebra of bi-invariant differential operators (identified with the center of the universal enveloping algebra) for the Galilean group (which is a contraction of the Poincare group).; Thesis (Ph.D.)--Tufts University, 2015.; Submitted to the Dept. of Mathematics.; Advisor: Fulton Gonzalez.; Committee: Fulton Gonzalez, George McNinch, and Tomoyuki Kakehi.; Keyword: Mathematics. %[ 2022-10-11 %9 Text %~ Tufts Digital Library %W Institution