The q-tetrahedron algebra and its finite dimensional irreducible modules
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Abstract
金沢大学大学院自然科学研究科計算科学
Recently, Hartwig and the second author found a presentation for the three-point 2 loop algebra via generators and relations. To obtain this presentation they defined an algebra by generators and relations, and displayed an isomorphism from to the three-point 2 loop algebra. We introduce a quantum analog of which we call q. We define q via generators and relations. We show how q is related to the quantum group Uq(2), the Uq(2) loop algebra, and the positive part of [image omitted]. We describe the finite dimensional irreducible q-modules under the assumption that q is not a root of 1, and the underlying field is algebraically closed.
Journal
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- Communications in Algebra
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Communications in Algebra 35 (11), 3415-3439, 2007-11-01
Taylor & Francis
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Details 詳細情報について
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- CRID
- 1390576282608140032
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- NII Article ID
- 120001133194
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- NII Book ID
- AA00611371
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- ISSN
- 00927872
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- Web Site
- http://hdl.handle.net/2297/7444
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- CiNii Articles