Lie algebra (English Wikipedia)

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

refsWebsite

Global rank English rank

36ams.org

451^st place

277^th place

7doi.org

2^nd place

5worldcat.org

5^th place

4archive.org

6^th place

2st-andrews.ac.uk

1,547^th place

1,410^th place

1jstor.org

26^th place

20^th place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.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.
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. 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, American Mathematical Soc., 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 (Global: 6^th place; English: 6^th place)

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 (Global: 2^nd place; English: 2^nd place)

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 (Global: 26^th place; English: 20^th place)

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 (Global: 1,547^th place; English: 1,410^th place)

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 (Global: 5^th place; English: 5^th place)

search.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.

Lie algebra (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

doi.org (Global: 2nd place; English: 2nd place)

jstor.org (Global: 26th place; English: 20th place)

st-andrews.ac.uk (Global: 1,547th place; English: 1,410th place)