Lecture Notes in Mathematics

Li, Huishi

This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.

Details

Published by: Springer

Publication Date: 2002-10-23

Format: Paperback

ISBN-13: 9783540441960

DOI: 10.1007/b84211

Dimensions: 235cm x155cm

Pages: 202