The Lie algebra of endomorphisms of an infinite-dimensional vector space

Ian Stewart

Compositio Mathematica (1972)

  • Volume: 25, Issue: 1, page 79-86
  • ISSN: 0010-437X

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Stewart, Ian. "The Lie algebra of endomorphisms of an infinite-dimensional vector space." Compositio Mathematica 25.1 (1972): 79-86. <http://eudml.org/doc/89131>.

@article{Stewart1972,
author = {Stewart, Ian},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {79-86},
publisher = {Wolters-Noordhoff Publishing},
title = {The Lie algebra of endomorphisms of an infinite-dimensional vector space},
url = {http://eudml.org/doc/89131},
volume = {25},
year = {1972},
}

TY - JOUR
AU - Stewart, Ian
TI - The Lie algebra of endomorphisms of an infinite-dimensional vector space
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 1
SP - 79
EP - 86
LA - eng
UR - http://eudml.org/doc/89131
ER -

References

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  1. W.E. Baxter [1] Lie simplicity of a special class of associative rings, Proc. Amer. Math. Soc.7 (1956) 855-863. Zbl0071.25902MR82481
  2. R.S. Dark [2] On subnormal embedding theorems for groups, J. London Math. Soc.43 (1968) 387-390. Zbl0157.05401MR225855
  3. I.N. Herstein [3] On the Lie and Jordan rings of a simple associative ring, Amer. J. Math.77 (1955) 279-285. Zbl0064.03601MR67871
  4. N. Jacobson [4] Lie algebras, Interscience, New York1962. Zbl0121.27504MR143793
  5. [5] Structure of rings, Amer. Math. Soc. Colloquium PublicationsXXXVII, Providence, R. I.1964. Zbl0073.02002
  6. A. Rosenberg [6] The infinite general linear group, Ann. of Math.68 (1958) 278-294. Zbl0128.25501MR102528
  7. W.R. Scott [7] Group Theory, Prentice Hall, Englewood Cliffs, New Jersey1964. Zbl0126.04504MR167513
  8. I.N. Stewart [8] Subideals of Lie algebras, Ph. D. Thesis, University of Warwick1969. 
  9. [9] The minimal condition for subdeals of Lie algebras, Math. Z.111 (1969) 301-310. Zbl0179.33203MR251093
  10. [10] An algebraic treatment of Mal'cev's theorems concerning nilpotent Lie groups and their Lie algebras, Compositio Math.22 (1970) 289-312. Zbl0204.35903MR288158

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