001448375 000__ 04190cam\a2200565\i\4500
001448375 001__ 1448375
001448375 003__ OCoLC
001448375 005__ 20230310004235.0
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001448375 019__ $$a1336889257$$a1336991918$$a1361695758
001448375 020__ $$a9783030943608$$q(electronic bk.)
001448375 020__ $$a3030943607$$q(electronic bk.)
001448375 020__ $$z9783030943592
001448375 020__ $$z3030943593
001448375 0247_ $$a10.1007/978-3-030-94360-8$$2doi
001448375 035__ $$aSP(OCoLC)1337159473
001448375 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ$$dN$T
001448375 0411_ $$aeng$$hfre
001448375 049__ $$aISEA
001448375 050_4 $$aQA176
001448375 08204 $$a512/.22$$223/eng/20220726
001448375 1001_ $$aKosmann-Schwarzbach, Yvette,$$d1941-$$eauthor.$$1https://isni.org/isni/0000000115159194
001448375 24510 $$aGroups and symmetries :$$bfrom finite groups to lie groups /$$cYvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer.
001448375 250__ $$aSecond edition.
001448375 264_1 $$aCham :$$bSpringer,$$c2022.
001448375 300__ $$a1 online resource (1 volume) :$$billustrations (black and white).
001448375 336__ $$atext$$btxt$$2rdacontent
001448375 337__ $$acomputer$$bc$$2rdamedia
001448375 338__ $$aonline resource$$bcr$$2rdacarrier
001448375 4901_ $$aUniversitext
001448375 500__ $$aTranslated from the French.
001448375 5050_ $$aIntroduction -- 1. General Facts About Groups -- 2. Representations of Finite Groups -- 3. Representations of Compact Groups -- 4. Lie Groups and Lie Algebras -- 5. Lie Groups SU(2) and SO(3) -- 6. Representations of SU(2) and SO(3) -- 7. Spherical Harmonics -- 8. Representations of SU(3) and Quarks -- 9. Spin Groups and Spinors -- Problems and Solutions -- Endnote -- Bibliography.-Index.
001448375 506__ $$aAccess limited to authorized users.
001448375 520__ $$aGroups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics. Accessible to advanced undergraduates in mathematics and physics as well as beginning graduate students, the text deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Prerequisites include calculus and linear algebra. This new edition contains an additional chapter that deals with Clifford algebras, spin groups, and the theory of spinors, as well as new sections entitled "Topics in history" comprising notes on the history of the material treated within each chapter. (Taken together, they constitute an account of the development of the theory of groups from its inception in the 18th century to the mid-20th.) References for additional resources and further study are provided in each chapter. All chapters end with exercises of varying degree of difficulty, some of which introduce new definitions and results. The text concludes with a collection of problems with complete solutions making it ideal for both course work and independent study. Key Topics include: Brisk review of the basic definitions of group theory, with examples Representation theory of finite groups: character theory Representations of compact groups using the Haar measure Lie algebras and linear Lie groups Detailed study of SO(3) and SU(2), and their representations Spherical harmonics Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group Spin groups and spinors.
001448375 588__ $$aDescription based on print version record.
001448375 650_0 $$aRepresentations of groups.
001448375 650_0 $$aFinite groups.
001448375 650_0 $$aLie groups.
001448375 655_0 $$aElectronic books.
001448375 7001_ $$aSinger, Stephanie Frank,$$d1964-$$etranslator.$$1https://isni.org/isni/0000000110077368
001448375 77608 $$iPrint version:$$aKosmann-Schwarzbach, Yvette, 1941-$$tGroups and symmetries.$$bSecond edition.$$dCham : Springer, 2022$$z9783030943592$$w(OCoLC)1295134981
001448375 830_0 $$aUniversitext.
001448375 852__ $$bebk
001448375 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94360-8$$zOnline Access$$91397441.1
001448375 909CO $$ooai:library.usi.edu:1448375$$pGLOBAL_SET
001448375 980__ $$aBIB
001448375 980__ $$aEBOOK
001448375 982__ $$aEbook
001448375 983__ $$aOnline
001448375 994__ $$a92$$bISE