TY - GEN AU - Goodman,Roe AU - Wallach,Nolan R TI - Symmetry, representations, and invariants T2 - Graduate texts in mathematics SN - 9780387798516 (acid-free paper) U1 - 512.22 PY - 2009/// CY - Dordrecht [Netherlands], New York PB - Springer KW - Representations of groups KW - Invariants KW - Symmetry (Mathematics) KW - Lie groups KW - Algebra N1 - "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]; 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 ER -