A definition of contraction of Lie algebra representations using direct limit

E. M. Subag; E. M. Baruch; J. L. Birman; A. Mann

doi:10.1088/1742-6596/343/1/012116

A definition of contraction of Lie algebra representations using direct limit

E. M. Subag, E. M. Baruch, J. L. Birman, A. Mann

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper the frequently used procedures for contraction of Lie algebra representations which were introduced by Inönü and Wigner are reformulated using the notion of direct limit. A definition for contraction of Lie algebra representations based on this reformulation is given. The contractions of the skew-Hermitian irreducible representations of so(3) to those of iso(2) and of iso(1,1) to those of Heisenberg Lie algebra are given as examples.

Original language	English
Article number	012116
Number of pages	25
Journal	Journal of Physics: Conference Series
Volume	343
DOIs	https://doi.org/10.1088/1742-6596/343/1/012116
State	Published - 2012
Event	7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic Duration: 7 Aug 2011 → 13 Aug 2011

ASJC Scopus subject areas

General Physics and Astronomy

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1088/1742-6596/343/1/012116

Cite this

@article{1b7cba6c7b8e42de9afbb3af38ef9a75,

title = "A definition of contraction of Lie algebra representations using direct limit",

abstract = "In this paper the frequently used procedures for contraction of Lie algebra representations which were introduced by In{\"o}n{\"u} and Wigner are reformulated using the notion of direct limit. A definition for contraction of Lie algebra representations based on this reformulation is given. The contractions of the skew-Hermitian irreducible representations of so(3) to those of iso(2) and of iso(1,1) to those of Heisenberg Lie algebra are given as examples.",

author = "Subag, {E. M.} and Baruch, {E. M.} and Birman, {J. L.} and A. Mann",

year = "2012",

doi = "10.1088/1742-6596/343/1/012116",

language = "אנגלית",

volume = "343",

note = "7th International Conference on Quantum Theory and Symmetries, QTS7 ; Conference date: 07-08-2011 Through 13-08-2011",

}

TY - JOUR

T1 - A definition of contraction of Lie algebra representations using direct limit

AU - Subag, E. M.

AU - Baruch, E. M.

AU - Birman, J. L.

AU - Mann, A.

PY - 2012

Y1 - 2012

N2 - In this paper the frequently used procedures for contraction of Lie algebra representations which were introduced by Inönü and Wigner are reformulated using the notion of direct limit. A definition for contraction of Lie algebra representations based on this reformulation is given. The contractions of the skew-Hermitian irreducible representations of so(3) to those of iso(2) and of iso(1,1) to those of Heisenberg Lie algebra are given as examples.

AB - In this paper the frequently used procedures for contraction of Lie algebra representations which were introduced by Inönü and Wigner are reformulated using the notion of direct limit. A definition for contraction of Lie algebra representations based on this reformulation is given. The contractions of the skew-Hermitian irreducible representations of so(3) to those of iso(2) and of iso(1,1) to those of Heisenberg Lie algebra are given as examples.

UR - http://www.scopus.com/inward/record.url?scp=84858216841&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/343/1/012116

DO - 10.1088/1742-6596/343/1/012116

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???

AN - SCOPUS:84858216841

SN - 1742-6588

VL - 343

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

M1 - 012116

T2 - 7th International Conference on Quantum Theory and Symmetries, QTS7

Y2 - 7 August 2011 through 13 August 2011

ER -

A definition of contraction of Lie algebra representations using direct limit

Abstract

ASJC Scopus subject areas

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this