📖 Overview
Harish-Chandra (1923-1983) was an Indian-American mathematician and physicist who made fundamental contributions to representation theory, harmonic analysis, and the theory of semisimple Lie groups. His work bridged multiple areas of mathematics and established some of the most profound results in modern algebra and analysis.
Originally trained as a theoretical physicist under Paul Dirac at Cambridge, Harish-Chandra shifted his focus to pure mathematics after moving to the United States. He spent most of his career at the Institute for Advanced Study in Princeton and later at Columbia University, where he developed what became known as Harish-Chandra's theory of automorphic forms.
His most significant achievements include the development of the theory of discrete series representations for semisimple Lie groups and the proof of his plancherel formula. The concept of Harish-Chandra modules, named in his honor, remains a crucial tool in representation theory.
Harish-Chandra was elected to the Royal Society in 1973 and received numerous accolades, including the Cole Prize in Algebra. His collected papers, published in four volumes, continue to influence modern mathematical research and are considered foundational texts in representation theory.
👀 Reviews
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📚 Books by Harish-Chandra
Automorphic Forms on Semisimple Lie Groups (1968)
A comprehensive treatise on harmonic analysis of semisimple Lie groups, covering the theory of cusp forms and discrete series representations.
Collected Papers (1984) A four-volume compilation of Harish-Chandra's mathematical papers, including his work on representations of semisimple Lie groups and harmonic analysis.
Admissible Invariant Distributions on Reductive p-adic Groups (1971) A research monograph establishing fundamental results about invariant distributions and characters of representations of p-adic groups.
Spherical Functions on a Semisimple Lie Group (1958) A foundational paper published as a separate volume, developing the theory of spherical functions and their relationship to representation theory.
Notes on Harmonic Analysis on Real Reductive Groups (1964) A lecture series compilation presenting the basic theory of harmonic analysis on reductive Lie groups and associated differential equations.
Collected Papers (1984) A four-volume compilation of Harish-Chandra's mathematical papers, including his work on representations of semisimple Lie groups and harmonic analysis.
Admissible Invariant Distributions on Reductive p-adic Groups (1971) A research monograph establishing fundamental results about invariant distributions and characters of representations of p-adic groups.
Spherical Functions on a Semisimple Lie Group (1958) A foundational paper published as a separate volume, developing the theory of spherical functions and their relationship to representation theory.
Notes on Harmonic Analysis on Real Reductive Groups (1964) A lecture series compilation presenting the basic theory of harmonic analysis on reductive Lie groups and associated differential equations.