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.
Produkteigenschaften
- Artikelnummer: 9783540441960
- Medium: Buch
- ISBN: 978-3-540-44196-0
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 23.10.2002
- Sprache(n): Englisch
- Auflage: 2002
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 335 g
- Seiten: 202
- Format (B x H x T): 155 x 235 x 12 mm
- Ausgabetyp: Kein, Unbekannt