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Symmetry, representations, and invariants Roe Goodman, Nolan R. Wallach

By: Contributor(s): Series: Graduate texts in mathematicsPublication details: Dordrecht [Netherlands] New York Springer c2009Description: xx, 716 p ill 24 cmISBN:
  • 9780387798516 (acid-free paper)
  • 038779851X (acid-free paper)
  • 9780387798516
  • 9780387798516
Subject(s): DDC classification:
  • 512.22
Contents:
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
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Carti IMAR II 36574 (Browse shelf(Opens below)) 1 Available 0024530

eng

"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

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