Actions and Invariants of Algebraic Groups

Walter Ricardo Ferrer Santos, Alvaro Rittatore (Autoren)

Buch | Hardcover

480 Seiten

2016 | 2nd edition
Chapman & Hall/CRC (Verlag)
978-1-4822-3915-7 (ISBN)

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Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Walter Ferrer Santos is a professor of mathematics at the University of the Republic, Montevideo, Uruguay. Alvaro Rittatore is an associate professor of mathematics at the University of the Republic, Montevideo, Uruguay.

Algebraic geometry. Lie algebras. Algebraic groups: basic definitions. Algebraic groups: Lie algebras and representations. Algebraic groups: Jordan decomposition and applications. Actions of algebraic groups. Homogeneous spaces. Algebraic groups and Lie algebras in characteristic zero. Observable subgroups of affine algebraic groups. Observable actions of affine algebraic groups. Observable subgroups of affine monoids. Affine homogeneous spaces. Hilbert's 14th problem. Quotients. Appendix. Basic definitions and results.

Erscheinungsdatum	25.05.2016
Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Zusatzinfo	10 Illustrations, black and white
Sprache	englisch
Maße	178 x 254 mm
Gewicht	1020 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4822-3915-9 / 1482239159
ISBN-13	978-1-4822-3915-7 / 9781482239157
Zustand	Neuware