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Duality theories for metabelian Lie algebras. II
Author:
Michael A. Gauger
Journal:
Trans. Amer. Math. Soc. 203 (1975), 67-75
MSC:
Primary 17B30
MathSciNet review:
0360728
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Abstract: In this paper I have replaced one of the axioms given in my Duality theory for metabelian Lie algebras (Trans. Amer. Math. Soc. 187 (1974), 89-102) concerning duality theories by a considerably more natural assumption which yields identical results--a uniqueness theorem.
- [1]
John
Fogarty, Invariant theory, W. A. Benjamin, Inc., New
York-Amsterdam, 1969. MR 0240104
(39 #1458)
- [2]
Michael
A. Gauger, On the classification of metabelian
Lie algebras, Trans. Amer. Math. Soc. 179 (1973), 293–329.
MR
0325719 (48 #4066), http://dx.doi.org/10.1090/S0002-9947-1973-0325719-0
- [3]
Michael
A. Gauger, Duality theories for metabelian Lie
algebras, Trans. Amer. Math. Soc. 187 (1974), 89–102. MR 0342576
(49 #7322), http://dx.doi.org/10.1090/S0002-9947-1974-0342576-8
- [4]
D. Mumford, Introduction to algebraic geometry, preliminary version, Harvard Univ. Press, Cambridge, Mass.
- [5]
John
Scheuneman, Two-step nilpotent Lie algebras, J. Algebra
7 (1967), 152–159. MR 0217134
(36 #225)
- [6]
R.
Westwick, Linear transformations on Grassman spaces, Pacific
J. Math. 14 (1964), 1123–1127. MR 0167493
(29 #4766)
- [1]
- J. Fogarty, Invariant theory, Benjamin, New York, 1969. MR 39 #1458. MR 0240104 (39:1458)
- [2]
- M. Gauger, On the classification of metabelian Lie algebras, Trans. Amer. Math. Soc. 179 (1973), 293-329. MR 0325719 (48:4066)
- [3]
- -, Duality theories for metabelian Lie algebras, Trans. Amer. Math. Soc. 187 (1974), 89-102. MR 0342576 (49:7322)
- [4]
- D. Mumford, Introduction to algebraic geometry, preliminary version, Harvard Univ. Press, Cambridge, Mass.
- [5]
- J. Scheuneman, Two-step nilpotent Lie algebras, J. Algebra 7 (1967), 152-159. MR 36 #225. MR 0217134 (36:225)
- [6]
- R. Westwick, Linear transformations on Grassmann spaces, Pacific J. Math. 14 (1964), 1123-1127. MR 29 #4766. MR 0167493 (29:4766)
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DOI:
http://dx.doi.org/10.1090/S0002-9947-1975-0360728-9
PII:
S 0002-9947(1975)0360728-9
Article copyright:
© Copyright 1975 American Mathematical Society
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