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The formalism of Lie groups

Conference:

Abstract

Throughout the history of quantum theory, a battle has raged between the amateurs and professional group theorists. The amateurs have maintained that everything one needs in the theory of groups can be discovered by the light of nature provided one knows how to multiply two matrices. In support of this claim, they of course, justifiably, point to the successes of that prince of amateurs in this field, Dirac, particularly with the spinor representations of the Lorentz group. As an amateur myself, I strongly believe in the truth of the non-professionalist creed. I think perhaps there is not much one has to learn in the way of methodology from the group theorists except caution. But this does not mean one should not be aware of the riches which have been amassed over the course of years particularly in that most highly developed of all mathematical disciplines - the theory of Lie groups. My lectures then are an amateur's attempt to gather some of the fascinating results for compact simple Lie groups which are likely to be of physical interest. I shall state theorems; and with a physicist's typical unconcern rarely, if ever, shall I prove these. Throughout, the emphasis will be  More>>
Authors:
Salam, A. [1] 
  1. Imperial College of Science and Technology, London (United Kingdom)
Publication Date:
Jan 15, 1963
Product Type:
Conference
Resource Relation:
Conference: Seminar on Theoretical Physics, Trieste (Italy), 16 Jul - 25 Aug 1962; Other Information: 7 refs., 5 figs., 2 tabs.; Related Information: In: Theoretical Physics. Lectures presented at the Seminar on Theoretical Physics| 650 p.
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LECTURES; LORENTZ GROUPS; MATRICES; QUANTUM FIELD THEORY
OSTI ID:
22568114
Research Organizations:
International Atomic Energy Agency, Vienna (Austria)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISSN 0074-1884; TRN: XA17M0043012272
Submitting Site:
INIS
Size:
page(s) 173-197
Announcement Date:

Conference:

Citation Formats

Salam, A. The formalism of Lie groups. IAEA: N. p., 1963. Web.
Salam, A. The formalism of Lie groups. IAEA.
Salam, A. 1963. "The formalism of Lie groups." IAEA.
@misc{etde_22568114,
title = {The formalism of Lie groups}
author = {Salam, A.}
abstractNote = {Throughout the history of quantum theory, a battle has raged between the amateurs and professional group theorists. The amateurs have maintained that everything one needs in the theory of groups can be discovered by the light of nature provided one knows how to multiply two matrices. In support of this claim, they of course, justifiably, point to the successes of that prince of amateurs in this field, Dirac, particularly with the spinor representations of the Lorentz group. As an amateur myself, I strongly believe in the truth of the non-professionalist creed. I think perhaps there is not much one has to learn in the way of methodology from the group theorists except caution. But this does not mean one should not be aware of the riches which have been amassed over the course of years particularly in that most highly developed of all mathematical disciplines - the theory of Lie groups. My lectures then are an amateur's attempt to gather some of the fascinating results for compact simple Lie groups which are likely to be of physical interest. I shall state theorems; and with a physicist's typical unconcern rarely, if ever, shall I prove these. Throughout, the emphasis will be to show the close similarity of these general groups with that most familiar of all groups, the group of rotations in three dimensions.}
place = {IAEA}
year = {1963}
month = {Jan}
}