Author : Alexander Arthur Young
Publisher :
ISBN 13 : 9781267364081
Total Pages : 43 pages
Book Rating : 4.3/5 (64 download)
Book Synopsis Examples of Algebras of Small Gelfand-Kirillov Dimension by : Alexander Arthur Young
Download or read book Examples of Algebras of Small Gelfand-Kirillov Dimension written by Alexander Arthur Young and published by . This book was released on 2012 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: We construct three examples of affine, associative algebras with relatively low growth. We construct an algebra over an arbitrary countable field that is affine, infinite dimensional, nil, N-graded, and has Gelfand-Kirillov dimension at most 3. We construct an algebra over an arbitrary field that is affine, infinite dimensional, nil, N-graded, and whose growth can be asymptotically bounded above by an arbitrary non-polynomial function. We construct an algebra over an arbitrary, algebraically closed field that is affine, infinite dimensional, N-graded, Jacobson radical, and has quadratic growth.