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 折 $4,541
- 語言: 英文
- 頁數: 371
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 303026453X
- ISBN-13: 9783030264536
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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.