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Noncommutative Gröbner Bases and Filtered-Graded Transfer

Medium: Buch
ISBN: 978-3-540-44196-0
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 23.10.2002
Lieferfrist: bis zu 10 Tage

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
Autoren/Hrsg.

Autoren

Introduction.- Chapter I: Basic Structural Tricks and Examples.- Chapter II: Gröbner Bases in Associative Algebras.- Chapter III: Gröbner Bases and Basic Algebraic-Algorithmic Structures.- Chapter IV: Filtered-Graded Transfer of Gröbner Bases.- Chapter V: GK-dimension of Modules over Quadric Solvable Polynomial Algebras and Elimination of Variables.- Chapter VI: Multiplicity Computation of Modules over Quadric Solvable Polynomial Algebras.- Chapter VII: (partial-)Holonomic Modules and Functions over Quadric Solvable Polynomial Algebras.- Chapter VII: Regularity and Ko-group of Quadric Solvable Polynomial Algebras.- References.- Index.