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Isomorphisms and automorphisms of universal Heffalump Lie algebras
Author:
S. Berman
Journal:
Proc. Amer. Math. Soc. 65 (1977), 29-34
MSC:
Primary 17B65; Secondary 17B40
MathSciNet review:
0486024
Full-text PDF Free Access
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Additional Information
Abstract: The classification of a family of infinite dimensional Lie algebras is carried out, and a determination of their automorphism groups, in certain cases is supplied.
- [1]
S.
Berman, On the construction of simple Lie algebras, J. Algebra
27 (1973), 158–183. MR 0354793
(50 #7270)
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Stephen
Berman, Robert
Moody, and Maria
Wonenburger, Cartan matrices with null roots and finite Cartan
matrices, Indiana Univ. Math. J. 21 (1971/72),
1091–1099. MR 0294369
(45 #3439)
- [3]
Stephen
Berman, On derivations of Lie algebras, Canad. J. Math.
28 (1976), no. 1, 174–180. MR 0422370
(54 #10360)
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Nathan
Jacobson, Lie algebras, Interscience Tracts in Pure and
Applied Mathematics, No. 10, Interscience Publishers (a division of John
Wiley & Sons), New York-London, 1962. MR 0143793
(26 #1345)
- [5]
V.
G. Kac, Simple irreducible graded Lie algebras of finite
growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968),
1323–1367 (Russian). MR 0259961
(41 #4590)
- [6]
W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966. MR 34 #7617.
- [7]
Richard
Marcuson, Representations and radicals of a class of infinite
dimensional Lie algebras, Indiana Univ. Math. J. 23
(1973/74), 883–887. MR 0338097
(49 #2863)
- [8]
Robert
V. Moody, A new class of Lie algebras, J. Algebra
10 (1968), 211–230. MR 0229687
(37 #5261)
- [9]
R.
V. Moody and K.
L. Teo, Tits’ systems with crystallographic Weyl groups,
J. Algebra 21 (1972), 178–190. MR 0320165
(47 #8705)
- [10]
R.
V. Moody, Macdonald identities and Euclidean Lie
algebras, Proc. Amer. Math. Soc. 48 (1975), 43–52. MR 0442048
(56 #436), http://dx.doi.org/10.1090/S0002-9939-1975-0442048-2
- [1]
- S. Berman, On the construction of simple Lie algebras, J. Algebra 27 (1973), 158-183. MR 50 #7270. MR 0354793 (50:7270)
- [2]
- S. Berman, R. Moody and M. Wonenburger, Cartan matrices with null roots and finite Cartan matrices, Indiana Univ. Math. J. 21 (1971/72), 1091-1099. MR 45 #3439. MR 0294369 (45:3439)
- [3]
- S. Berman, On derivations of Lie algebras, Canad. J. Math. 28 (1976), 174-180. MR 0422370 (54:10360)
- [4]
- N. Jacobson, Lie algebras, Interscience, New York, 1962. MR 26 # 1345. MR 0143793 (26:1345)
- [5]
- V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. 32 (1968), 1323-1367 = Math. USSR Izv. 2 (1968), 1271-1311. MR 41 #4590. MR 0259961 (41:4590)
- [6]
- W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966. MR 34 #7617.
- [7]
- R. Marcuson, Representations and radicals of a class of infinite dimensional Lie algebras, Indiana Univ. Math. J. 23 (1973/74), 883-887. MR 49 #2863. MR 0338097 (49:2863)
- [8]
- R. Moody, A new class of Lie algebras, J. Algebra 10 (1968), 211-230. MR 37 #5261. MR 0229687 (37:5261)
- [9]
- R. Moody and K. Teo, Tits' systems with crystallographic Weyl groups, J. Algebra 21 (1972), 178-190. MR 47 #8705. MR 0320165 (47:8705)
- [10]
- R. Moody, Macdonald identities and Euclidean Lie algebras, Proc. Amer. Math. Soc. 48 (1975), 43-52. MR 0442048 (56:436)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1977-0486024-4
PII:
S 0002-9939(1977)0486024-4
Article copyright:
© Copyright 1977 American Mathematical Society
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