Alice through Looking Glass after Looking Glass: The Mathematics of Mirrors and Kaleidoscopes
2004; Taylor & Francis; Volume: 111; Issue: 4 Linguagem: Inglês
10.1080/00029890.2004.11920077
ISSN1930-0972
Autores Tópico(s)Molecular spectroscopy and chirality
ResumoClick to increase image sizeClick to decrease image size Additional informationNotes on contributorsRoe GoodmanROE GOODMAN received his Ph.D. in mathematics at M.I.T. in 1963, working under I. E. Segal on problems of symmetry and causality in quantum field theory. After a postdoctoral year at Harvard with G. W. Mackey he returned to M.I.T. to teach and do research on analytic properties of unitary representations of Lie groups. He has been at Rutgers since 1971, receiving two university awards for excellence in undergraduate teaching and publishing papers and books on Lie groups, stochastic models, and representation theory.Goodman's main interest outside mathematics is music. An early encounter with permutation groups occurred when he did some composing in the twelve-tone style as a teenager. He began constructing kaleidoscopes to help his students (and himself) understand reflection groups in the theory of Lie algebras. He is principal bassoonist in a professional orchestra in Princeton, and the skills gained from many decades of making bassoon reeds by hand turned out to be very useful in making kaleidoscopes and the models of root systems that appear on the cover of his book with Nolan R. Wallach, Representations and Invariants of the Classical Groups (Cambridge University Press, 1999).
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