Download Algebraic Quotients. Torus Actions and Cohomology. The by A. Bialynicki-Birula,J. Carrell,W.M. McGovern PDF

By A. Bialynicki-Birula,J. Carrell,W.M. McGovern

this can be the second one quantity of the recent subseries "Invariant idea and Algebraic Transformation Groups". the purpose of the survey through A. Bialynicki-Birula is to provide the most tendencies and achievements of study within the conception of quotients by way of activities of algebraic teams. This thought includes geometric invariant thought with quite a few functions to difficulties of moduli thought. The contribution via J. Carrell treats the topic of torus activities on algebraic kinds, giving an in depth exposition of a number of the cohomological effects one obtains from having a torus motion with mounted issues. Many examples, equivalent to toric kinds and flag forms, are mentioned intimately. W.M. McGovern stories the activities of a semisimple Lie or algebraic team on its Lie algebra through the adjoint motion and on itself through conjugation. His contribution focuses totally on nilpotent orbits that experience stumbled on the widest software to illustration conception within the final thirty-five years.

Show description

Read Online or Download Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action (Encyclopaedia of Mathematical Sciences) PDF

Best group theory books

Lectures on Profinite Topics in Group Theory (London Mathematical Society Student Texts)

During this e-book, 3 authors introduce readers to robust approximation tools, analytic pro-p teams and zeta features of teams. every one bankruptcy illustrates connections among limitless crew conception, quantity thought and Lie idea. the 1st introduces the speculation of compact p-adic Lie teams. the second one explains how equipment from linear algebraic teams should be utilised to review the finite pictures of linear teams.

Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

This detailed textual content is an creation to harmonic research at the least difficult symmetric areas, specifically Euclidean house, the field, and the Poincaré higher part plane.  This ebook is meant for starting graduate scholars in arithmetic or researchers in physics or engineering.  Written with a casual type, the publication locations an emphasis on motivation, concrete examples, historical past, and, in particular, functions in arithmetic, records, physics, and engineering.

Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin (Lecture Notes in Mathematics)

Prompted via the significance of the Campbell, Baker, Hausdorff, Dynkin Theorem in lots of diverse branches of arithmetic and Physics (Lie group-Lie algebra thought, linear PDEs, Quantum and Statistical Mechanics, Numerical research, Theoretical Physics, keep watch over concept, sub-Riemannian Geometry), this monograph is meant to: fully let readers (graduates or experts, mathematicians, physicists or utilized scientists, accustomed to Algebra or no longer) to appreciate and practice the statements and  a variety of corollaries of the most result, provide a large spectrum of proofs from the trendy literature, evaluating varied recommendations and furnishing a unifying perspective and notation, offer a radical historic historical past of the consequences, including unknown proof concerning the powerful early contributions by way of Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook at the purposes, specifically in Differential Geometry (Lie crew conception) and research (PDEs of subelliptic sort) and quickly allow the reader, via an outline of the state-of-art and open difficulties, to appreciate the fashionable literature relating a theorem which, notwithstanding having its roots first and foremost of the 20th century, has now not ceased to supply new difficulties and purposes.

A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics)

This graduate-level textual content offers a radical grounding within the illustration concept of finite teams over fields and earrings. The e-book presents a balanced and accomplished account of the topic, detailing the tools had to learn representations that come up in lots of components of arithmetic. Key subject matters comprise the development and use of personality tables, the position of induction and limit, projective and straightforward modules for crew algebras, indecomposable representations, Brauer characters, and block concept.

Extra resources for Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action (Encyclopaedia of Mathematical Sciences)

Example text

Download PDF sample

Rated 4.08 of 5 – based on 38 votes