Invariant subvarieties of the 3-tensor space C^2⨂C^2⨂C^2
広島大学総合科学部紀要. IV, 理系編 Volume 20
Page 1-18
published_at 1994-12-28
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この文献の参照には次のURLをご利用ください : https://doi.org/10.15027/641
| File | |
| Title ( eng ) |
Invariant subvarieties of the 3-tensor space C^2⨂C^2⨂C^2
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| Creator | |
| Contributors | 国立情報学研究所 |
| Source Title |
広島大学総合科学部紀要. IV, 理系編
Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
|
| Volume | 20 |
| Start Page | 1 |
| End Page | 18 |
| Abstract |
We classify G-invariant subvarieties of the 3-tensor space C^2⨂C^2⨂C^2 that are defined by polynomials with degree≤6,where G=GL(2,C)×GL(2,C)×GL(2,C). We also calculate the character fo S^p(C^2⨂C^2⨂C^2), determine the generators of each irreducible component of S^p(C^2⨂C^2⨂C^2), and obtain some curious identities between them that play a fundamental role in classifying invariant subvarieties.
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| Keywords |
3-tensor space
variety
invariant
representation
character
Schur function
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
広島大学総合科学部
|
| Date of Issued | 1994-12-28 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Date |
[Created] 2006-03-21
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| Source Identifier |
[ISSN] 1340-8364
[NCID] AN10435936
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