Massachusetts Institute of Technology University of California, Berkeley
Thesis
Representations of a Lie algebra and its enveloping algebra on a Hilbert space
Doctoral advisor
Irving Segal
Doctoral students
Marjorie Batchelor
James Lepowsky
Arlie Petters
Stephen Rallis
James Harris Simons
Birgit Speh
Moss Sweedler
David Vogan
Bertram Kostant (May 24, 1928 – February 2, 2017)[1] was an American mathematician who worked in representation theory, differential geometry, and mathematical physics.
^"Bertram Kostant, professor emeritus of mathematics, dies at 88". MIT News. 16 February 2017.
BertramKostant (May 24, 1928 – February 2, 2017) was an American mathematician who worked in representation theory, differential geometry, and mathematical...
In mathematics, the Kostant polynomials, named after BertramKostant, provide an explicit basis of the ring of polynomials over the ring of polynomials...
1958 and a PhD in mathematics from Berkeley under the supervision of BertramKostant in 1961 at the age of 23. After graduating from MIT, Simons traveled...
representation theory, a branch of mathematics, the Kostant partition function, introduced by BertramKostant (1958, 1959), of a root system Δ {\displaystyle...
the linear operator X. Later work by T. A. Springer, Dale Peterson, BertramKostant, among others, found connections with combinatorics, representation...
by Kirillov (1961, 1962) for nilpotent groups and later extended by BertramKostant, Louis Auslander, Lajos Pukánszky and others to the case of solvable...
his advisors were BertramKostant and Sigurdur Helgason. Lepowsky graduated from Stuyvesant High School in 1961, 16 years after Kostant. His current research...
functions. The modern theory of geometric quantization was developed by BertramKostant and Jean-Marie Souriau in the 1970s. One of the motivations of the...
Café hosted some of the more technical discussions. Mathematician BertramKostant discussed the background of Lisi's work in a colloquium presentation...
MIT. Petters earned his Ph.D. in mathematics in 1991 under advisors BertramKostant (MIT) and David Spergel (Princeton University). He remained at MIT...
He received his Ph.D. from M.I.T. in 1976, under the supervision of BertramKostant. In his thesis, he introduced the notion of lowest K type in the course...
algebras. Of Dynkin's 1947 paper "Structure of semisimple Lie algebras", BertramKostant wrote: In this paper, using only elementary mathematics, and starting...
of the theory of symplectic reduction. For instance, together with BertramKostant he showed how to use reduction techniques to give a rigorous mathematical...
Brylinski–Kostant filtration of weight spaces is named after her. She originally developed this filtration in 1989, motivated by earlier work of Bertram Kostant...
this approach is associated with Felix Berezin, Dimitry Leites, and BertramKostant. A different definition describes a supermanifold in a fashion that...
rank vector bundle; this is the symplectic spinor construction due to BertramKostant. A section of the symplectic spinor bundle Q {\displaystyle {\mathbf...
1992 Steele Prize, 2005 Abel Prize (New York University, emeritus) BertramKostant (1945) – lie groups and representation theory; elected in 1978 to the...
Dirichlet-Type Problems Lie Group Representations of Polynomial Rings by BertramKostant published in the American Journal of Mathematics Vol 85 No 3 (July...
cohomology into class field theory. Along with BertramKostant and Alex F. T. W. Rosenberg, the Hochschild–Kostant–Rosenberg theorem is named after him. Among...
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