000			03719nam a22005175i 4500
001			978-0-387-79852-3
003			DE-He213
005			20251006084422.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387798523
020			_a99780387798523
024	7		_a10.1007/978-0-387-79852-3 _2doi
082	0	4	_a512.2 _223
100	1		_aGoodman, Roe. _eauthor.
245	1	0	_aSymmetry, Representations, and Invariants _h[electronic resource] / _cby Roe Goodman, Nolan R. Wallach.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v255
505	0		_aLie 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.
520			_aSymmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: • Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus • Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux) • Self-contained chapters, appendices, comprehensive bibliography • More than 350 exercises (most with detailed hints for solutions) further explore main concepts • Serves as an excellent main text for a one-year course in Lie group theory • Benefits physicists as well as mathematicians as a reference work
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGROUP THEORY.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aALGEBRA.
650	2	4	_aGENERAL ALGEBRAIC SYSTEMS.
700	1		_aWallach, Nolan R. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387798516
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v255
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-79852-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59191 _d59191