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1 2 3 4 5 Serre, Jean-Pierre (1977), Linear Representations of Finite Groups, Springer-Verlag, ISBN 978-0387901909.
1 2 3 4 Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
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1 2 Lam, T. Y. (1998), "Representations of finite groups: a hundred years", Notices of the AMS, 45 (3, 4): 361–372 (Part I), 465–474 (Part II).
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1 2 Kostrikin, A. I.; Manin, Yuri I. (1997), Linear Algebra and Geometry, Taylor & Francis, ISBN 978-90-5699-049-7.
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↑ Sternberg, Shlomo (1994), Group Theory and Physics, Cambridge University Press, ISBN 978-0-521-55885-3.
1 2 Folland, Gerald B. (1995), A Course in Abstract Harmonic Analysis, CRC Press, ISBN 978-0-8493-8490-5.
↑ Goodman, Roe; Wallach, Nolan R. (1998), Representations and Invariants of the Classical Groups, Cambridge University Press, ISBN 978-0-521-66348-9.
↑ Olver, Peter J. (1999), Classical invariant theory, Cambridge: Cambridge University Press, ISBN 978-0-521-55821-1.
↑ Sharpe, Richard W. (1997), Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Springer, ISBN 978-0-387-94732-7.
↑ Borel, Armand; Casselman, W. (1979), Automorphic Forms, Representations, and L-functions, American Mathematical Society, ISBN 978-0-8218-1435-2.
↑ Gelbart, Stephen (1984), "An Elementary Introduction to the Langlands Program", Bulletin of the American Mathematical Society, 10 (2): 177–219, doi:10.1090/S0273-0979-1984-15237-6.
1 2 Simson, Daniel; Skowronski, Andrzej; Assem, Ibrahim (2007), Elements of the Representation Theory of Associative Algebras, Cambridge University Press, ISBN 978-0-521-88218-7.
↑ Biểu diễn tầm thường {0} có số chiều bằng 0 và không được xem là khả quy lẫn tối giản, tương tự như số 1 không được xem là số nguyên tố lẫn hợp số.
1 2 3 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, 222 (2nd ed.), Springer, ISBN 978-3319134666
1 2 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
↑ 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
↑ Weyl, Hermann (1928), Gruppentheorie und Quantenmechanik (The Theory of Groups and Quantum Mechanics, translated H.P. Robertson, 1931 ed.), S. Hirzel, Leipzig (reprinted 1950, Dover), ISBN 978-0-486-60269-1
↑ Wigner, Eugene P. (1939), "On unitary representations of the inhomogeneous Lorentz group", Annals of Mathematics, 40 (1): 149–204, doi:10.2307/1968551, JSTOR 1968551
↑ Knapp, Anthony W. (2001), Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton University Press, ISBN 978-0-691-09089-4
1 2 Peter, F.; Weyl, Hermann (1927), "Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe", Mathematische Annalen, 97 (1): 737–755, doi:10.1007/BF01447892, archived from the original on 2014-08-19
↑ Bargmann, V. (1947), "Irreducible unitary representations of the Lorenz group", Annals of Mathematics, 48 (3): 568–640, doi:10.2307/1969129, JSTOR 1969129
↑ Pontrjagin, Lev S. (1934), "The theory of topological commutative groups", Annals of Mathematics, 35 (2): 361–388, doi:10.2307/1968438, JSTOR 1968438
↑ Weyl, Hermann (1946), The Classical Groups: Their Invariants and Representations (2nd ed.), Princeton University Press (reprinted 1997), ISBN 978-0-691-05756-9
↑ Sternberg, Shlomo (1994), Group Theory and Physics, Cambridge University Press, ISBN 978-0-521-55885-3.
↑ Humphreys, James E. (1972a), Introduction to Lie Algebras and Representation Theory, Birkhäuser, ISBN 978-0-387-90053-7
↑ Kac, Victor G. (1990), Infinite Dimensional Lie Algebras (3rd ed.), Cambridge University Press, ISBN 978-0-521-46693-6
↑ Kac, Victor G. (1977), "Lie superalgebras", Advances in Mathematics, 26 (1): 8–96, doi:10.1016/0001-8708(77)90017-2.
↑ 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
↑ Olver, Peter J. (1999), Classical invariant theory, Cambridge: Cambridge University Press, ISBN 978-0-521-55821-1
↑ 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 ed.), Berlin, New York: Springer-Verlag, ISBN 978-3-540-56963-3, MR 0214602
↑ Weyl, Hermann (1946), The Classical Groups: Their Invariants and Representations (2nd ed.), Princeton University Press (reprinted 1997), ISBN 978-0-691-05756-9
↑ Sharpe, Richard W. (1997), Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Springer, ISBN 978-0-387-94732-7
↑ Borel, Armand; Casselman, W. (1979), Automorphic Forms, Representations, and L-functions, American Mathematical Society, ISBN 978-0-8218-1435-2.
↑ Gelbart, Stephen (1984), "An Elementary Introduction to the Langlands Program", Bulletin of the American Mathematical Society, 10 (2): 177–219, doi:10.1090/S0273-0979-1984-15237-6.
