Symmetry, representations, and invariants
Goodman, Roe
Symmetry, representations, and invariants Roe Goodman, Nolan R. Wallach - Dordrecht [Netherlands] New York Springer c2009 - xx, 716 p ill 24 cm - Graduate texts in mathematics 255 . - Graduate texts in mathematics .
"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
eng
9780387798516 (acid-free paper) 038779851X (acid-free paper) 9780387798516 9780387798516
2009927015
Representations of groups
Invariants
Symmetry (Mathematics)
Lie groups
Algebra
512.22
Symmetry, representations, and invariants Roe Goodman, Nolan R. Wallach - Dordrecht [Netherlands] New York Springer c2009 - xx, 716 p ill 24 cm - Graduate texts in mathematics 255 . - Graduate texts in mathematics .
"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
eng
9780387798516 (acid-free paper) 038779851X (acid-free paper) 9780387798516 9780387798516
2009927015
Representations of groups
Invariants
Symmetry (Mathematics)
Lie groups
Algebra
512.22