HOCHSCHILD KERNEL FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF A CONNECTED REDUCTIVE LIE GROUP

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참고문헌 (11)

1. G. Birkhoff, "Lie groups simply isomorphic with no linear group", Bull. Amer. Math. Soc, 42, pp.883~888 (1936)
2. M. Goto, "Faithful representations of Lie groups II", Nagoya Math. J, 1, pp.91~107 (1950)
3. E. Hewitt, "Abstract Harmonic Analysis Vol. I" (1979), Springer-Verlag
4. G. P. Hochschild, "The universal representation kernel of a Lie group", Proc. Amer. Math. Soc, 11, pp.625~629 (1960)
5. A. I. Shtern, "Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjecture", Advanced Studies in Contemporary Mathematics, 13(2), pp.143~158 (2006), 장전수학회
6. A. I. Shtern, "A version of the van der Waerden theorem and the proof of the Mishchenko conjecture for homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
7. A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y.), 159(5), pp.653~751 (2009)
8. A. I. Shtern, "FREUDENTHAL-WEIL THEOREM FOR ARBITRARY EMBEDDINGS OF CONNECTED LIE GROUPS IN COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 19(2), pp.157~164 (2009), 장전수학회
9. Alexander I. Shtern, "APPLICATIONS OF AUTOMATIC CONTINUITY RESULTS TO ANALOGS OF THE FREUDENTHAL–WEIL AND HOCHSCHILD THEOREMS", Advanced Studies in Contemporary Mathematics, 20(2), pp.203~212 (2010), 장전수학회
10. B. L. van der Waerden, "Stetigkeitss¨atze f¨ur halbeinfache Liesche Gruppen", Math. Z, 36, pp.780~786 (1933)
11. V. S. Varadarajan, "Lie Groups, Lie Algebras, and Their Representations" (1974), Prentice- Hall, Inc.

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