Young diagrammatic methods in non-commutative invariant theory
In this paper we will study some aspects of non-commutative invariant theory. Let V be a finite-dimensional vector space over a field K of characteristic zero and let K[V] = K⊕V⊕S 2(V)⊕…, and K′V› = K⊕V⊕⊕2(V)⊕⊕3 V⊕& be respectively the symmetric algebra and the tensor algebra over V. Let G be a...
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| Veröffentlicht in: | Nagoya mathematical journal 1991-03, Vol.121, p.15-34 |
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| container_title | Nagoya mathematical journal |
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| creator | Teranishi, Yasuo |
| description | In this paper we will study some aspects of non-commutative invariant theory. Let V be a finite-dimensional vector space over a field K of characteristic zero and let
K[V] = K⊕V⊕S
2(V)⊕…, and
K′V› = K⊕V⊕⊕2(V)⊕⊕3
V⊕& be respectively the symmetric algebra and the tensor algebra over V. Let G be a subgroup of GL(V). Then G acts on K[V] and K′V›. Much of this paper is devoted to the study of the (non-commutative) invariant ring K′V›
G
of G acting on K′V›. In the first part of this paper, we shall study the invariant ring in the following situation. |
| doi_str_mv | 10.1017/S002776300000338X |
| format | Article |
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K[V] = K⊕V⊕S
2(V)⊕…, and
K′V› = K⊕V⊕⊕2(V)⊕⊕3
V⊕& be respectively the symmetric algebra and the tensor algebra over V. Let G be a subgroup of GL(V). Then G acts on K[V] and K′V›. Much of this paper is devoted to the study of the (non-commutative) invariant ring K′V›
G
of G acting on K′V›. In the first part of this paper, we shall study the invariant ring in the following situation.</description><identifier>ISSN: 0027-7630</identifier><identifier>EISSN: 2152-6842</identifier><identifier>DOI: 10.1017/S002776300000338X</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><ispartof>Nagoya mathematical journal, 1991-03, Vol.121, p.15-34</ispartof><rights>Copyright © Editorial Board of Nagoya Mathematical Journal 1991</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c158x-b1fb7d4dd30b9b140f77fbc70dc88852decec794b829af4a7016fc5c4438955c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Teranishi, Yasuo</creatorcontrib><title>Young diagrammatic methods in non-commutative invariant theory</title><title>Nagoya mathematical journal</title><addtitle>Nagoya Mathematical Journal</addtitle><description>In this paper we will study some aspects of non-commutative invariant theory. Let V be a finite-dimensional vector space over a field K of characteristic zero and let
K[V] = K⊕V⊕S
2(V)⊕…, and
K′V› = K⊕V⊕⊕2(V)⊕⊕3
V⊕& be respectively the symmetric algebra and the tensor algebra over V. Let G be a subgroup of GL(V). Then G acts on K[V] and K′V›. Much of this paper is devoted to the study of the (non-commutative) invariant ring K′V›
G
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K[V] = K⊕V⊕S
2(V)⊕…, and
K′V› = K⊕V⊕⊕2(V)⊕⊕3
V⊕& be respectively the symmetric algebra and the tensor algebra over V. Let G be a subgroup of GL(V). Then G acts on K[V] and K′V›. Much of this paper is devoted to the study of the (non-commutative) invariant ring K′V›
G
of G acting on K′V›. In the first part of this paper, we shall study the invariant ring in the following situation.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S002776300000338X</doi><tpages>20</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
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| ispartof | Nagoya mathematical journal, 1991-03, Vol.121, p.15-34 |
| issn | 0027-7630 2152-6842 |
| language | eng |
| recordid | cdi_crossref_primary_10_1017_S002776300000338X |
| source | Project Euclid Open Access; Open Access Titles of Japan; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete |
| title | Young diagrammatic methods in non-commutative invariant theory |
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