A Lie superalgebraic interpretation of the para‐Bose statistics

We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 1980-04, Vol.21 (4), p.797-799
Main Authors: Ganchev, A. Ch, Palev, T. D.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3
cites cdi_FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3
container_end_page 799
container_issue 4
container_start_page 797
container_title Journal of mathematical physics
container_volume 21
creator Ganchev, A. Ch
Palev, T. D.
description We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).
doi_str_mv 10.1063/1.524502
format article
fullrecord <record><control><sourceid>scitation_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1063_1_524502</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>jmp</sourcerecordid><originalsourceid>FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3</originalsourceid><addsrcrecordid>eNqdj01KxEAQhRtRMI6CR-ilLjJW9U-6sxwH_yDgRteh06loyzgJ3VFw5xE8oycxQ8QDuKrF-96jPsZOEZYIhbzApRZKg9hjGYItc1Nou88yACFyoaw9ZEcpvQAgWqUytlrxKhBPbwNFt3miJrrgediOFIdIoxtDv-V9x8dn4oOL7vvz67JPU2EXpTH4dMwOOrdJdPJ7F-zx-uphfZtX9zd361WVe1ngmJMplKQGrBZkJGiE6ZtWaYfGGWcb0zbGS-9QtQYbLIVoBRgU6EuPJEku2Nm862OfUqSuHmJ4dfGjRqh36jXWs_qEns9o8mFW-Bf73sc_rh7aTv4A25hnFg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A Lie superalgebraic interpretation of the para‐Bose statistics</title><source>AIP Digital Archive</source><creator>Ganchev, A. Ch ; Palev, T. D.</creator><creatorcontrib>Ganchev, A. Ch ; Palev, T. D.</creatorcontrib><description>We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.524502</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><ispartof>Journal of mathematical physics, 1980-04, Vol.21 (4), p.797-799</ispartof><rights>American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3</citedby><cites>FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.524502$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,1553,27898,27899,76356</link.rule.ids></links><search><creatorcontrib>Ganchev, A. Ch</creatorcontrib><creatorcontrib>Palev, T. D.</creatorcontrib><title>A Lie superalgebraic interpretation of the para‐Bose statistics</title><title>Journal of mathematical physics</title><description>We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).</description><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1980</creationdate><recordtype>article</recordtype><recordid>eNqdj01KxEAQhRtRMI6CR-ilLjJW9U-6sxwH_yDgRteh06loyzgJ3VFw5xE8oycxQ8QDuKrF-96jPsZOEZYIhbzApRZKg9hjGYItc1Nou88yACFyoaw9ZEcpvQAgWqUytlrxKhBPbwNFt3miJrrgediOFIdIoxtDv-V9x8dn4oOL7vvz67JPU2EXpTH4dMwOOrdJdPJ7F-zx-uphfZtX9zd361WVe1ngmJMplKQGrBZkJGiE6ZtWaYfGGWcb0zbGS-9QtQYbLIVoBRgU6EuPJEku2Nm862OfUqSuHmJ4dfGjRqh36jXWs_qEns9o8mFW-Bf73sc_rh7aTv4A25hnFg</recordid><startdate>198004</startdate><enddate>198004</enddate><creator>Ganchev, A. Ch</creator><creator>Palev, T. D.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>198004</creationdate><title>A Lie superalgebraic interpretation of the para‐Bose statistics</title><author>Ganchev, A. Ch ; Palev, T. D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1980</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ganchev, A. Ch</creatorcontrib><creatorcontrib>Palev, T. D.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ganchev, A. Ch</au><au>Palev, T. D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Lie superalgebraic interpretation of the para‐Bose statistics</atitle><jtitle>Journal of mathematical physics</jtitle><date>1980-04</date><risdate>1980</risdate><volume>21</volume><issue>4</issue><spage>797</spage><epage>799</epage><pages>797-799</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).</abstract><doi>10.1063/1.524502</doi><tpages>3</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0022-2488
ispartof Journal of mathematical physics, 1980-04, Vol.21 (4), p.797-799
issn 0022-2488
1089-7658
language eng
recordid cdi_crossref_primary_10_1063_1_524502
source AIP Digital Archive
title A Lie superalgebraic interpretation of the para‐Bose statistics
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-27T00%3A45%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-scitation_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Lie%20superalgebraic%20interpretation%20of%20the%20para%E2%80%90Bose%20statistics&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=Ganchev,%20A.%20Ch&rft.date=1980-04&rft.volume=21&rft.issue=4&rft.spage=797&rft.epage=799&rft.pages=797-799&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.524502&rft_dat=%3Cscitation_cross%3Ejmp%3C/scitation_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c361t-e7643eb0852e730510248d45a17a7a8b7db7c3ca14d71b1922d207121c9c1e3e3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true