Projective Schur Division Algebras Are Abelian Crossed Products
Let k be a field. A projective Schur Algebra over k is a finite-dimensional k-central simple algebra which is a homomorphic image of a twisted group algebra k α G with G a finite group and α ∈ H 2( G, k*). The main result of this paper is that every projective Schur division algebra is an abelian cr...
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| Veröffentlicht in: | Journal of algebra 1994-02, Vol.163 (3), p.795-805 |
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| Sprache: | eng |
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| container_issue | 3 |
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| container_title | Journal of algebra |
| container_volume | 163 |
| creator | Aljadeff, E. Sonn, J. |
| description | Let
k be a field. A projective Schur Algebra over
k is a finite-dimensional
k-central simple algebra which is a homomorphic image of a twisted group algebra
k
α
G with
G a finite group and α ∈
H
2(
G,
k*). The main result of this paper is that every projective Schur division algebra is an abelian crossed product (
K/
k, ƒ), where
K is a radical extension of
k. |
| doi_str_mv | 10.1006/jabr.1994.1044 |
| format | Article |
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k be a field. A projective Schur Algebra over
k is a finite-dimensional
k-central simple algebra which is a homomorphic image of a twisted group algebra
k
α
G with
G a finite group and α ∈
H
2(
G,
k*). The main result of this paper is that every projective Schur division algebra is an abelian crossed product (
K/
k, ƒ), where
K is a radical extension of
k.</description><identifier>ISSN: 0021-8693</identifier><identifier>EISSN: 1090-266X</identifier><identifier>DOI: 10.1006/jabr.1994.1044</identifier><language>eng</language><publisher>Elsevier Inc</publisher><ispartof>Journal of algebra, 1994-02, Vol.163 (3), p.795-805</ispartof><rights>1994 Academic Press</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c423t-27270d058f2a16831df4b84d2e2cbc77d5da2646f8e9c0ee347bf79acfaf9da23</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1006/jabr.1994.1044$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,3541,27915,27916,45986</link.rule.ids></links><search><creatorcontrib>Aljadeff, E.</creatorcontrib><creatorcontrib>Sonn, J.</creatorcontrib><title>Projective Schur Division Algebras Are Abelian Crossed Products</title><title>Journal of algebra</title><description>Let
k be a field. A projective Schur Algebra over
k is a finite-dimensional
k-central simple algebra which is a homomorphic image of a twisted group algebra
k
α
G with
G a finite group and α ∈
H
2(
G,
k*). The main result of this paper is that every projective Schur division algebra is an abelian crossed product (
K/
k, ƒ), where
K is a radical extension of
k.</description><issn>0021-8693</issn><issn>1090-266X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNp1j01LxDAURYMoOI5uXecPdHxJM2myklI_YUBBBXchTV40Q20l6Qz4720Zt64uj8t53EPIJYMVA5BXW9umFdNaTKcQR2TBQEPBpXw_JgsAzgoldXlKznLeAjC2FmpBrp_TsEU3xj3SF_e5S_Qm7mOOQ0_r7gPbZDOtE9K6xS7anjZpyBk9nTC_c2M-JyfBdhkv_nJJ3u5uX5uHYvN0_9jUm8IJXo4Fr3gFHtYqcMukKpkPolXCc-SudVXl195yKWRQqB0glqJqQ6WtCzboqSqXZHX46-YBCYP5TvHLph_DwMz6ZtY3s76Z9SdAHQCcVu0jJpNdxN6hj2nyNX6I_6G_lgRh5g</recordid><startdate>19940201</startdate><enddate>19940201</enddate><creator>Aljadeff, E.</creator><creator>Sonn, J.</creator><general>Elsevier Inc</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19940201</creationdate><title>Projective Schur Division Algebras Are Abelian Crossed Products</title><author>Aljadeff, E. ; Sonn, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c423t-27270d058f2a16831df4b84d2e2cbc77d5da2646f8e9c0ee347bf79acfaf9da23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aljadeff, E.</creatorcontrib><creatorcontrib>Sonn, J.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><jtitle>Journal of algebra</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aljadeff, E.</au><au>Sonn, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Projective Schur Division Algebras Are Abelian Crossed Products</atitle><jtitle>Journal of algebra</jtitle><date>1994-02-01</date><risdate>1994</risdate><volume>163</volume><issue>3</issue><spage>795</spage><epage>805</epage><pages>795-805</pages><issn>0021-8693</issn><eissn>1090-266X</eissn><abstract>Let
k be a field. A projective Schur Algebra over
k is a finite-dimensional
k-central simple algebra which is a homomorphic image of a twisted group algebra
k
α
G with
G a finite group and α ∈
H
2(
G,
k*). The main result of this paper is that every projective Schur division algebra is an abelian crossed product (
K/
k, ƒ), where
K is a radical extension of
k.</abstract><pub>Elsevier Inc</pub><doi>10.1006/jabr.1994.1044</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of algebra, 1994-02, Vol.163 (3), p.795-805 |
| issn | 0021-8693 1090-266X |
| language | eng |
| recordid | cdi_crossref_primary_10_1006_jabr_1994_1044 |
| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| title | Projective Schur Division Algebras Are Abelian Crossed Products |
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