On representations of the holomorph of analytic groups
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- by Dong Hoon Lee PDF
- Proc. Amer. Math. Soc. 95 (1985), 135-138 Request permission
Abstract:
We completely characterize those complex analytic groups whose holomorph groups admit finite-dimensional faithful complex analytic representations.References
- G. Hochschild, Introduction to affine algebraic groups, Holden-Day, Inc., San Francisco, Calif.-Cambridge-Amsterdam, 1971. MR 0277535
- G. Hochschild, Representative action of the automorphisms of complex analytic groups, J. Algebra 37 (1975), no. 2, 296–301. MR 382547, DOI 10.1016/0021-8693(75)90079-4
- G. Hochschild, On representing analytic groups with their automorphisms, Pacific J. Math. 78 (1978), no. 2, 333–336. MR 519755
- G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
- G. Hochschild and G. D. Mostow, Representations and representative functions of Lie groups. III, Ann. of Math. (2) 70 (1959), 85–100. MR 141733, DOI 10.2307/1969893
- G. Hochschild and G. D. Mostow, Automorphisms of affine algebraic groups, J. Algebra 13 (1969), 535–543. MR 255655, DOI 10.1016/0021-8693(69)90115-X
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 135-138
- MSC: Primary 22E10; Secondary 22E45
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796462-2
- MathSciNet review: 796462