Lie algebra (English Wikipedia)

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

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Humphreys 1978, p. 1. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Jacobson 1979, p. 28. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Humphreys 1978, p. 4. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Varadarajan 1984, p. 49. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Serre 2006, Part I, section VI.3. Serre, Jean-Pierre (2006). Lie Algebras and Lie Groups (2nd ed.). Springer. ISBN 978-3-540-55008-2. MR 2179691.
Fulton & Harris 1991, Proposition D.40. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
Varadarajan 1984, section 2.10, Remark 2. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Hall 2015, §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. ISSN 0072-5285. MR 3331229.
Erdmann & Wildon 2006, Theorem 3.1. Erdmann, Karin; Wildon, Mark (2006). Introduction to Lie Algebras. Springer. ISBN 1-84628-040-0. MR 2218355.
Erdmann & Wildon 2006, section 3.2.1. Erdmann, Karin; Wildon, Mark (2006). Introduction to Lie Algebras. Springer. ISBN 1-84628-040-0. MR 2218355.
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. ISSN 0072-5285. MR 3331229.
Wigner 1959, Chapters 17 and 20. Wigner, Eugene (1959). Group Theory and its Application to the Quantum Mechanics of Atomic Spectra. Translated by J. J. Griffin. Academic Press. ISBN 978-0127505503. MR 0106711.
Erdmann & Wildon 2006, Chapter 8. Erdmann, Karin; Wildon, Mark (2006). Introduction to Lie Algebras. Springer. ISBN 1-84628-040-0. MR 2218355.
Serre 2006, Part I, Chapter IV. Serre, Jean-Pierre (2006). Lie Algebras and Lie Groups (2nd ed.). Springer. ISBN 978-3-540-55008-2. MR 2179691.
Jacobson 1979, Ch. VI. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Hall 2015, Theorem 10.9. 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. ISSN 0072-5285. MR 3331229.
Humphreys 1978, section 17.3. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Jacobson 1979, section II.3. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Jacobson 1979, section I.7. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Jacobson 1979, p. 24. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Jacobson 1979, Ch. III, § 5. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Erdmann & Wildon 2006, Theorem 12.1. Erdmann, Karin; Wildon, Mark (2006). Introduction to Lie Algebras. Springer. ISBN 1-84628-040-0. MR 2218355.
Varadarajan 1984, Theorem 3.16.3. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Varadarajan 1984, section 3.9. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Jacobson 1979, Ch. III, § 9. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Jacobson 1979, section IV.6. Jacobson, Nathan (1979) [1962]. Lie Algebras. Dover. ISBN 978-0-486-63832-4. MR 0559927.
Varadarajan 1984, Theorems 2.7.5 and 3.15.1. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Varadarajan 1984, section 2.6. Varadarajan, Veeravalli S. (1984) [1974]. Lie Groups, Lie Algebras, and Their Representations. Springer. ISBN 978-0-387-90969-1. MR 0746308.
Milnor 2010, Warnings 1.6 and 8.5. Milnor, John (2010) [1986], "Remarks on infinite-dimensional Lie groups", Collected Papers of John Milnor, vol. 5, pp. 91–141, ISBN 978-0-8218-4876-0, MR 0830252
Knapp 2001, section III.3, Problem III.5. Knapp, Anthony W. (2001) [1986], Representation Theory of Semisimple Groups: an Overview Based on Examples, Princeton University Press, ISBN 0-691-09089-0, MR 1880691
Fulton & Harris 1991, §26.1. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
Quillen 1969, Corollary II.6.2. Quillen, Daniel (1969), "Rational homotopy theory", Annals of Mathematics, 90 (2): 205–295, doi:10.2307/1970725, JSTOR 1970725, MR 0258031
Khukhro 1998, Ch. 6. Khukhro, E. I. (1998), p-Automorphisms of Finite p-Groups, Cambridge University Press, doi:10.1017/CBO9780511526008, ISBN 0-521-59717-X, MR 1615819
Serre 2006, Part II, section V.1. Serre, Jean-Pierre (2006). Lie Algebras and Lie Groups (2nd ed.). Springer. ISBN 978-3-540-55008-2. MR 2179691.
Humphreys 1978, section 25. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Serre 2006, Part I, Chapter II. Serre, Jean-Pierre (2006). Lie Algebras and Lie Groups (2nd ed.). Springer. ISBN 978-3-540-55008-2. MR 2179691.

archive.org

Humphreys 1978, p. 1. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Humphreys 1978, p. 4. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Humphreys 1978, section 17.3. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.
Humphreys 1978, section 25. Humphreys, James E. (1978). Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics. Vol. 9 (2nd ed.). Springer-Verlag. ISBN 978-0-387-90053-7. MR 0499562.

doi.org

Fulton & Harris 1991, Proposition D.40. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
Hall 2015, §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. ISSN 0072-5285. MR 3331229.
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. ISSN 0072-5285. MR 3331229.
Hall 2015, Theorem 10.9. 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. ISSN 0072-5285. MR 3331229.
Fulton & Harris 1991, §26.1. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
Quillen 1969, Corollary II.6.2. Quillen, Daniel (1969), "Rational homotopy theory", Annals of Mathematics, 90 (2): 205–295, doi:10.2307/1970725, JSTOR 1970725, MR 0258031
Khukhro 1998, Ch. 6. Khukhro, E. I. (1998), p-Automorphisms of Finite p-Groups, Cambridge University Press, doi:10.1017/CBO9780511526008, ISBN 0-521-59717-X, MR 1615819

jstor.org

Quillen 1969, Corollary II.6.2. Quillen, Daniel (1969), "Rational homotopy theory", Annals of Mathematics, 90 (2): 205–295, doi:10.2307/1970725, JSTOR 1970725, MR 0258031

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor & Robertson 2000. O'Connor, J.J; Robertson, E.F. (2000). "Marius Sophus Lie". MacTutor History of Mathematics Archive.
O'Connor & Robertson 2005. O'Connor, J.J; Robertson, E.F. (2005). "Wilhelm Karl Joseph Killing". MacTutor History of Mathematics Archive.

worldcat.org

Fulton & Harris 1991, Proposition D.40. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.
Hall 2015, §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. ISSN 0072-5285. MR 3331229.
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. ISSN 0072-5285. MR 3331229.
Hall 2015, Theorem 10.9. 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. ISSN 0072-5285. MR 3331229.
Fulton & Harris 1991, §26.1. Fulton, William; Harris, Joe (1991). Representation theory. A first course. Graduate Texts in Mathematics, Readings in Mathematics. Vol. 129. New York: Springer-Verlag. doi:10.1007/978-1-4612-0979-9. ISBN 978-0-387-97495-8. MR 1153249. OCLC 246650103.