Temsil teorisi

Temsil teorisi cebirsel yapıların cebirini ilgili öğeleri vektör uzayların doğrusal dönüşümlerini olarak temsil ederek çalışan ve bu cedbirlerin modülleri ile de ilgilenen  matematiğin bir dalı.

Ayrıca bkz.

• Numerik analiz
  

Kaynakça

• Alperin, J. L. (1986), Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups, Cambridge University Press, ISBN 978-0-521-44926-7  .
• Bargmann, V. (1947), "Irreducible unitary representations of the Lorenz group", Annals of Mathematics, 48 (3), ss. 568–640, doi:10.2307/1969129, JSTOR 1969129  .
• Borel, Armand (2001), Essays in the History of Lie Groups and Algebraic Groups, American Mathematical Society, ISBN 978-0-8218-0288-5  .
• Borel, Armand; Casselman, W. (1979), Automorphic Forms, Representations, and L-functions, American Mathematical Society, ISBN 978-0-8218-1435-2  .
• Curtis, Charles W.; Reiner, Irving (1962), Representation Theory of Finite Groups and Associative Algebras, John Wiley & Sons (Reedition 2006 by AMS Bookstore), ISBN 978-0-470-18975-7  .
• Gelbart, Stephen (1984), "An Elementary Introduction to the Langlands Program", Bulletin of the American Mathematical Society, 10 (2), ss. 177–219, doi:10.1090/S0273-0979-1984-15237-6  .
• Folland, Gerald B. (1995), A Course in Abstract Harmonic Analysis, CRC Press, ISBN 978-0-8493-8490-5  .
• Şablon:Fulton-Harris.
• Goodman, Roe; Wallach, Nolan R. (1998), Representations and Invariants of the Classical Groups, Cambridge University Press, ISBN 978-0-521-66348-9  .
• Gordon, James; Liebeck, Martin (1993), Representations and Characters of Finite Groups, Cambridge: Cambridge University Press, ISBN 978-0-521-44590-0  .
• Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, 222 (2nd bas.), Springer, ISBN 978-3319134666 
• Helgason, Sigurdur (1978), Differential Geometry, Lie groups and Symmetric Spaces, Academic Press, ISBN 978-0-12-338460-7 
• Humphreys, James E. (1972a), Introduction to Lie Algebras and Representation Theory, Birkhäuser, ISBN 978-0-387-90053-7  .
• Humphreys, James E. (1972b), Linear Algebraic Groups, Graduate Texts in Mathematics, 21, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90108-4, MR 0396773 
• Jantzen, Jens Carsten (2003), Representations of Algebraic Groups, American Mathematical Society, ISBN 978-0-8218-3527-2  .
• Kac, Victor G. (1977), "Lie superalgebras", Advances in Mathematics, 26 (1), ss. 8–96, doi:10.1016/0001-8708(77)90017-2  .
• Kac, Victor G. (1990), Infinite Dimensional Lie Algebras (3rd bas.), Cambridge University Press, ISBN 978-0-521-46693-6  .
• Knapp, Anthony W. (2001), Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, ISBN 978-0-691-09089-4  .
• Kim, Shoon Kyung (1999), Group Theoretical Methods and Applications to Molecules and Crystals: And Applications to Molecules and Crystals, Cambridge University Press, ISBN 978-0-521-64062-6  .
• Kostrikin, A. I.; Manin, Yuri I. (1997), Linear Algebra and Geometry, Taylor & Francis, ISBN 978-90-5699-049-7  .
• Lam, T. Y. (1998), "Representations of finite groups: a hundred years", Notices of the AMS, American Mathematical Society, 45 (3,4), ss. 361–372 (Part I), 465–474 (Part II)  .
• Yurii I. Lyubich. Introduction to the Theory of Banach Representations of Groups. Translated from the 1985 Russian-language edition (Kharkov, Ukraine). Birkhäuser Verlag. 1988.
• Mumford, David; Fogarty, J.; Kirwan, F. (1994), Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results in Mathematics and Related Areas (2)], 34 (3rd bas.), Berlin, New York: Springer-Verlag, ISBN 978-3-540-56963-3, MR 0214602  ; MRMR0719371 (2nd ed.); MRMR1304906(3rd ed.)
• Olver, Peter J. (1999), Classical invariant theory, Cambridge: Cambridge University Press, ISBN 0-521-55821-2  .
• Peter, F.; Weyl, Hermann (1927), "Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe", Mathematische Annalen, 97 (1), ss. 737–755, doi:10.1007/BF01447892, 2014-08-19 tarihinde kaynağından arşivlendi  .
• Pontrjagin, Lev S. (1934), "The theory of topological commutative groups", Annals of Mathematics, Annals of Mathematics, 35 (2), ss. 361–388, doi:10.2307/1968438, JSTOR 1968438  .
• Sally, Paul; Vogan, David A. (1989), Representation Theory and Harmonic Analysis on Semisimple Lie Groups, American Mathematical Society, ISBN 978-0-8218-1526-7  .
• Serre, Jean-Pierre (1977), Linear Representations of Finite Groups, Springer-Verlag, ISBN 978-0387901909  .
• Sharpe, Richard W. (1997), Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Springer, ISBN 978-0-387-94732-7  .
• Simson, Daniel; Skowronski, Andrzej; Assem, Ibrahim (2007), Elements of the Representation Theory of Associative Algebras, Cambridge University Press, ISBN 978-0-521-88218-7  .
• Sternberg, Shlomo (1994), Group Theory and Physics, Cambridge University Press, ISBN 978-0-521-55885-3  .
• Tung, Wu-Ki (1985). Group Theory in Physics (1st bas.). New Jersey·London·Singapore·Hong Kong: World Scientific. ISBN 978-9971966577. 
• Weyl, Hermann (1928), Gruppentheorie und Quantenmechanik (The Theory of Groups and Quantum Mechanics, translated H.P. Robertson, 1931 bas.), S. Hirzel, Leipzig (reprinted 1950, Dover), ISBN 978-0-486-60269-1  .
• Weyl, Hermann (1946), The Classical Groups: Their Invariants and Representations (2nd bas.), Princeton University Press (reprinted 1997), ISBN 978-0-691-05756-9  .
• Wigner, Eugene P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, Annals of Mathematics, 40 (1), ss. 149–204, doi:10.2307/1968551, JSTOR 1968551  .

Dış bağlantılar

• Hazewinkel, Michiel, (Ed.) (2001), "Representation theory", Encyclopaedia of Mathematics, Kluwer Academic Publishers, ISBN 978-1556080104