청구기호 |
QA176 .G663 2009 |
형태사항 |
xx, 716 p. : ill. ; 24 cm.
|
언어 |
English |
일반주기 |
"Symmetry, in the title of this book, should be understood as the geometry of Lie (and algebraic) group actions"--P. xv.
"Based on 'Representations and invariants of the classical groups', Roe Goodman and Nolan R. Wallach, Cambridge University Press, 1998, third corrected printing 2003"--Page [iv].
|
서지주기 |
Includes bibliographical references (p. 697-703) and indexes.
|
내용 |
Lie groups and algebraic groups -- Structure of classical groups -- Highest-weight theory -- Algebras and representations -- Classical invariant theory -- Spinors -- Character formulas -- Branching laws -- Tensor representations of GL(V) -- Tensor representations of O(V) and Sp(V) -- Algebraic groups and homogeneous spaces -- Representations on spaces of regular functions -- Algebraic geometry -- Linear and multilinear algebra -- Associative algebras and lie algebras - Manifolds and Lie groups.
|
주제 |
Representations of groups.
Invariants.
Symmetry (Mathematics)
Lie groups.
Algebra.
|
LCCN |
2009927015
|
ISBN |
9780387798516
038779851X
|