Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers

Iohara, Kenji, Malbos, Philippe, Saito, Masa-Hiko

  • 出版商: Springer
  • 出版日期: 2020-02-21
  • 售價: $4,780
  • 貴賓價: 9.5$4,541
  • 語言: 英文
  • 頁數: 371
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 303026453X
  • ISBN-13: 9783030264536
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Part I First Byway: Gröbner Bases.- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet.- 2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials.- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules.- 4 Noncommutative Gröbner Bases: Applications and Generalizations.- 5 Introduction to Computational Algebraic Statistics.- Part II Second Byway: Quivers.- 6 Introduction to Representations of Quivers.- 7 Introduction to Quiver Varieties.- 8 On Additive Deligne-Simpson Problems.- 9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1.

作者簡介

Kenji Iohara is a Professor at Université Claude Bernard Lyon 1, France. His research focuses mainly on the Lie theory, singularity, and special functions. He co-authored "Representation Theory of the Virasoro Algebra" (978-0-85729-159-2), published with Springer.

Philippe Malbos is a Professor at Université Claude Bernard Lyon 1, France. His fields of research include algebraic rewriting, Gröbner bases, and homological algebra.

Masa-Hiko Saito is a Professor and Director of the Center for Mathematical and Data Sciences at Kobe University, Japan. His interests include algebraic geometry and its applications to integrable systems.

Nobuki Takayama is a Professor at Kobe University, Japan. His research fields comprise computer algebra, hypergeometric functions, D-modules, and algebraic statistics. He co-authored "Gröbner Deformations of Hypergeometric Differential Equations" (978-3-540-66065-1), published by Springer.