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Dr. Donald R. King

Personal
Prefix: Dr.
First Name: Donald
Middle Name: R.
Last Name: King

Education
Degree: Ph.D.
Graduation Year: 1979

Summary
My research focuses on the representation theory of semi-simple Lie algebras and Lie groups, especially the role played by nilpotent conjugacy classes. Dr. Donald R.King has published 6 papers: 6. Projections of measures on nilpotent orbits and asymptotic multiplicities of $K$-types in rings of regular functions. II, J. Funct. Anal. 138 (1996), no. 1, 82--106. 5. Projections of measures on nilpotent orbits and asymptotic multiplicities of $K$-types in rings of regular functions. I, Pacific J. Math. 170 (1995), 161--202. 4. The component groups of nilpotents in exceptional simple real Lie algebras, Comm. Algebra 20 (1992), 219--284. 3. Character polynomials of discrete series representations, Noncommutative harmonic analysis and Lie groups, 267--302, Lecture Notes in Math. 880, Springer, Berlin-New York,1981. 2. The character polynomial of the annihilator of an irreducible Harish\mhy Chandra module, Amer. J. Math. 103 (1981), 1195--1240. 1. Characters of irreducible Harish-Chandra modules and Goldie ranks of their annihilators, Proc. Nat. Acad. Sci. U.S.A. 77 (1980), no. 10, part 1, 5616--5617.

Biography

One of my proudest achievements was being the PhD supervisor of  Alfred Noël who finished his doctorate at Northeastern University in 1997.

RESEARCH NOTES

Area of Research Interests: Lie groups, Lie algebras, Weyl groups, Lie algebra cohomology, non-commutative ring theory

Dr. Donald R.King has published 6 papers:

6. Projections of measures on nilpotent orbits and asymptotic multiplicities of $K$-types in rings of regular functions. II, J. Funct. Anal. 138 (1996), no. 1, 82--106.

5. Projections of measures on nilpotent orbits and asymptotic multiplicities of $K$-types in rings of regular functions. I, Pacific J. Math. 170 (1995), 161--202.

4. The component groups of nilpotents in exceptional simple real Lie algebras, Comm. Algebra 20 (1992), 219--284.

3. Character polynomials of discrete series representations, Noncommutative harmonic analysis and Lie groups, 267--302, Lecture Notes in Math. 880, Springer, Berlin-New York,1981.

2. The character polynomial of the annihilator of an irreducible Harish\mhy Chandra module, Amer. J. Math. 103 (1981), 1195--1240.

1. Characters of irreducible Harish-Chandra modules and Goldie ranks of their annihilators, Proc. Nat. Acad. Sci. U.S.A. 77 (1980), no. 10, part 1, 5616--5617.

Lifetime
Year Born: 1947