Book Review
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MathSciNet review:
4191062
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Book Information:
Author:
Martin Lorenz
Title:
A tour of representation theory
Additional book information:
Graduate Studies in Mathematics, Vol. 193,
American Mathematical Society,
Providence, RI,
2018,
xvii+654 pp.,
ISBN 978-1-4704-3680-3
Charles W. Curtis, Pioneers of representation theory: Frobenius, Burnside, Schur, and Brauer, History of Mathematics, vol. 15, American Mathematical Society, Providence, RI; London Mathematical Society, London, 1999. MR 1715145, DOI 10.1016/s0370-2693(99)01288-5
Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, and Elena Yudovina, Introduction to representation theory, Student Mathematical Library, vol. 59, American Mathematical Society, Providence, RI, 2011. With historical interludes by Slava Gerovitch. MR 2808160, DOI 10.1090/stml/059
Roe Goodman and Nolan R. Wallach, Symmetry, representations, and invariants, Graduate Texts in Mathematics, vol. 255, Springer, Dordrecht, 2009. MR 2522486, DOI 10.1007/978-0-387-79852-3
James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, vol. 9, Springer-Verlag, New York-Berlin, 1978. Second printing, revised. MR 499562
R. Langlands, Letter to André Weil, 1967, available at http://publications.ias.edu/rpl/paper/43.
Martin Lorenz, A tour of representation theory, Graduate Studies in Mathematics, vol. 193, American Mathematical Society, Providence, RI, 2018. MR 3837537, DOI 10.1090/gsm/193
Andrei Okounkov and Anatoly Vershik, A new approach to representation theory of symmetric groups, Selecta Math. (N.S.) 2 (1996), no. 4, 581–605. MR 1443185, DOI 10.1007/PL00001384
Jean-Pierre Serre, Linear representations of finite groups, Graduate Texts in Mathematics, Vol. 42, Springer-Verlag, New York-Heidelberg, 1977. Translated from the second French edition by Leonard L. Scott. MR 0450380
William C. Waterhouse, Introduction to affine group schemes, Graduate Texts in Mathematics, vol. 66, Springer-Verlag, New York-Berlin, 1979. MR 547117
Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158
References
- Charles W. Curtis, Pioneers of representation theory: Frobenius, Burnside, Schur, and Brauer, History of Mathematics, vol. 15, American Mathematical Society, Providence, RI; London Mathematical Society, London, 1999. MR 1715145
- Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, and Elena Yudovina, Introduction to representation theory, Student Mathematical Library, vol. 59, American Mathematical Society, Providence, RI, 2011. With historical interludes by Slava Gerovitch. MR 2808160, DOI 10.1090/stml/059
- Roe Goodman and Nolan R. Wallach, Symmetry, representations, and invariants, Graduate Texts in Mathematics, vol. 255, Springer, Dordrecht, 2009. MR 2522486, DOI 10.1007/978-0-387-79852-3
- James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, vol. 9, Springer-Verlag, New York-Berlin, 1978. Second printing, revised. MR 499562
- R. Langlands, Letter to André Weil, 1967, available at http://publications.ias.edu/rpl/paper/43.
- Martin Lorenz, A tour of representation theory, Graduate Studies in Mathematics, vol. 193, American Mathematical Society, Providence, RI, 2018. MR 3837537
- Andrei Okounkov and Anatoly Vershik, A new approach to representation theory of symmetric groups, Selecta Math. (N.S.) 2 (1996), no. 4, 581–605. MR 1443185, DOI 10.1007/PL00001384
- Jean-Pierre Serre, Linear representations of finite groups, Springer-Verlag, New York-Heidelberg, 1977. Translated from the second French edition by Leonard L. Scott; Graduate Texts in Mathematics, Vol. 42. MR 0450380
- William C. Waterhouse, Introduction to affine group schemes, Graduate Texts in Mathematics, vol. 66, Springer-Verlag, New York-Berlin, 1979. MR 547117
- Hermann Weyl, The classical groups: Their invariants and representations, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Fifteenth printing; Princeton Paperbacks. MR 1488158
Review Information:
Reviewer:
Dongwen Liu
Affiliation:
Zhejiang University, Hangzhou, Peoples Republic of China
Email:
maliu@zju.edu.cn
Journal:
Bull. Amer. Math. Soc.
58 (2021), 137-142
DOI:
https://doi.org/10.1090/bull/1710
Published electronically:
August 27, 2020
Review copyright:
© Copyright 2020
American Mathematical Society
