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Infinite root systems, representations of graphs and invariant theory. II. (English) Zbl 0497.17007


MSC:

17B65 Infinite-dimensional Lie (super)algebras
16Gxx Representation theory of associative rings and algebras
15A72 Vector and tensor algebra, theory of invariants

Citations:

Zbl 0427.17001
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References:

[1] Kac, V. G., Infinite root systems, representations of graphs and invariant theory, Invent. Math., 56, 57-92 (1980) · Zbl 0427.17001
[2] Ringel, C. M., Representations of \(K\)-species and bimodules, J. Algebra, 41, 269-302 (1976) · Zbl 0338.16011
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[5] Dlab, V.; Ringel, C. M., Indecomposable representation of graphs and algebras, Mem. Amer. Math. Soc., 6, No. 173, 1-57 (1976)
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[9] Kac, V. G., Some remarks on representations of quivers and infinite root systems, (Lecture Notes in Mathematics No. 832 (1980), Springeer-Verlag: Springeer-Verlag New York/Berlin), 311-332
[10] Bernstein, I. N.; Gelfand, I. M.; Ponomarev, V. A., Coxeter functors and Gabriel’s theorem, Russian Math. Surveys, 28, 17-32 (1973) · Zbl 0279.08001
[11] Kac, V. G., Some remarks on nilpotent orbits, J. Algebra, 64, 190-213 (1980) · Zbl 0431.17007
[12] Donovan, P.; Freislich, M. R., The representation theory of finite graphs and associative algebras, Carleton Mathematics Lecture Notes No. 5 (1973) · Zbl 0294.20009
[13] Steinberg, R., Conjugacy Classes in Algebraic Groups, (Lecture Notes in Mathematics No. 366 (1974), Springer-Verlag: Springer-Verlag New York/Berlin) · Zbl 0192.36202
[14] Kraft, H., Parametrisierung der Konjugationsklassen in \(sl_n \), Math. Ann., 234, 209-220 (1978) · Zbl 0362.17005
[15] Popov, V. L., A criterion of stability of actions of semisimple groups on factorial varieties, Izv. Akad. Nauk USSR, 34, 523-531 (1970)
[16] Gatti, V.; Viniberghi, E., Spinors of 13-dimensional space, Adv. in Math., 30, 137-155 (1978) · Zbl 0429.20043
[17] Artin, M., On Azumaya algebras and finite-dimensional representations of rings, J. Algebra, 11, 532-563 (1969) · Zbl 0222.16007
[18] Luna, D., Adhérences d’orbits et invariants, Invent. Math., 29, 231-238 (1975) · Zbl 0315.14018
[19] D. Happel; D. Happel · Zbl 0494.16015
[20] S. Abeasis, A. Del Fra\(A_n \); S. Abeasis, A. Del Fra\(A_n \) · Zbl 0537.16025
[21] Sato, M.; Kimura, T., A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J., 65, 1-155 (1977) · Zbl 0321.14030
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