Algebra 3

Homological Algebra and Its Applications

Ramji Lal (Autor)

Buch | Softcover

300 Seiten

2022 | 1st ed. 2021
Springer Verlag, Singapore
978-981-336-328-1 (ISBN)

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This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.

Ramji Lal is a former professor and head of the Department of Mathematics at the University of Allahabad, India. He is also a former adjunct professor of the Harish-Chandra Research Institute (HRI), Allahabad, India. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years: as a professor, head of the department and the coordinator of the DSA program. At HRI, he initiated a postgraduate (PG) program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he had been the advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad, for over three years. His research interests include group theory, algebraic K-theory and representation theory.

Chapter 1. Homological Algebra 1.- Chapter 2. Homological Algebra 2, Derived Functions.- Chapter 3. Homological Algebra 3, Examples and Applications.- Chapter 4. Sheaf Co-homology and Applications.

Erscheinungsdatum	04.03.2022
Reihe/Serie	Infosys Science Foundation Series
Reihe/Serie	Infosys Science Foundation Series in Mathematical Sciences
Zusatzinfo	32 Illustrations, black and white; XV, 300 p. 32 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic curves • Algebraic Geometry • Chevalley Groups • Commutative algebra • Homological algebra • semi-simple lie algebra
ISBN-10	981-336-328-2 / 9813363282
ISBN-13	978-981-336-328-1 / 9789813363281
Zustand	Neuware