Lie group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lie group" in English language version.

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22doi.org

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aimath.org

"What is a Lie group?". aimath.org. Retrieved 1 March 2024.

ams.org

mathscinet.ams.org

Hawkins 2000, p. 1 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 2 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 76 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 43 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 100 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Borel 2001 Borel, Armand (2001), Essays in the history of Lie groups and algebraic groups, History of Mathematics, vol. 21, Providence, Rhode Island: American Mathematical Society, ISBN 978-0-8218-0288-5, MR 1847105

books.google.com

Hawkins 2000, p. 1 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 2 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 76 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 43 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 100 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Borel 2001 Borel, Armand (2001), Essays in the history of Lie groups and algebraic groups, History of Mathematics, vol. 21, Providence, Rhode Island: American Mathematical Society, ISBN 978-0-8218-0288-5, MR 1847105

doi.org

Hawkins 2000, p. 1 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 2 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 76 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Tresse, Arthur (1893). "Sur les invariants différentiels des groupes continus de transformations". Acta Mathematica. 18: 1–88. doi:10.1007/bf02418270.
Hawkins 2000, p. 43 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 100 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hall 2015 Corollary 3.45 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Stillwell 2008 Stillwell, John (2008). Naive Lie Theory. Undergraduate Texts in Mathematics. Springer. doi:10.1007/978-0-387-78214-0. ISBN 978-0387782140.
Hall 2015 Theorem 3.20 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
But see Hall 2015, Proposition 3.30 and Exercise 8 in Chapter 3 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Corollary 3.50 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Theorem 5.20 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Example 3.27 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Section 1.3.4 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Corollary 5.7 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Theorem 5.6 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Section 13.2 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Theorem 3.42 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Theorem 5.20 Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
Hall 2015 Part III Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Graduate Texts in Mathematics, vol. 222 (2nd ed.), Springer, doi:10.1007/978-3-319-13467-3, ISBN 978-3319134666.
De Kerf, E.A.; Bäuerle, G.G.A.; Ten Kroode, A.P.E., eds. (1997). "Lie algebras of infinite matrices". Lie Algebras - Finite and Infinite Dimensional Lie Algebras and Applications in Physics. Studies in Mathematical Physics. Vol. 7. pp. 305–364. doi:10.1016/S0925-8582(97)80009-7. ISBN 978-0-444-82836-1.

jstor.org

Hawkins 2000, p. 1 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 2 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 76 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 43 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review
Hawkins 2000, p. 100 Hawkins, Thomas (2000), Emergence of the theory of Lie groups, Sources and Studies in the History of Mathematics and Physical Sciences, Berlin, New York: Springer-Verlag, doi:10.1007/978-1-4612-1202-7, ISBN 978-0-387-98963-1, MR 1771134 Borel's review

sunysb.edu

math.sunysb.edu

"Introduction to Lie groups and algebras : Definitions, examples and problems" (PDF). State University of New York at Stony Brook. 2006. Archived from the original (PDF) on 28 September 2011. Retrieved 11 October 2014.

tifr.res.in

math.tifr.res.in

Bruhat, F. (1958). "Lectures on Lie Groups and Representations of Locally Compact Groups" (PDF). Tata Institute of Fundamental Research, Bombay.

web.archive.org

"Introduction to Lie groups and algebras : Definitions, examples and problems" (PDF). State University of New York at Stony Brook. 2006. Archived from the original (PDF) on 28 September 2011. Retrieved 11 October 2014.

zenodo.org

Tresse, Arthur (1893). "Sur les invariants différentiels des groupes continus de transformations". Acta Mathematica. 18: 1–88. doi:10.1007/bf02418270.