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https://doi.org/10.1063/1.5050052
Title: | Skew Pieri algebras of the general linear group | Authors: | Kim, S Lee Soo Teck Wang, Y |
Issue Date: | 1-Dec-2018 | Publisher: | AIP Publishing | Citation: | Kim, S, Lee Soo Teck, Wang, Y (2018-12-01). Skew Pieri algebras of the general linear group. Journal of Mathematical Physics 59 (12) : 121702-121702. ScholarBank@NUS Repository. https://doi.org/10.1063/1.5050052 | Abstract: | © 2018 Author(s). Let V be an irreducible polynomial representation of the general linear group GLn=GLn(C) and let α1, ⋯, αq be nonnegative integers less than or equal to n. We call a description of the irreducible decomposition of the tensor product V⊕ - Λα1(Cn) ⊕ - Λαq(Cn) an iterated skew Pieri rule for GLn. In this paper, we define a family of complex algebras whose structure encodes an iterated skew Pieri rule for GLn, and we call these algebras iterated skew Pieri algebras. Our main goal is to construct a basis for each of these algebras thereby giving explicit highest weight vectors in the above tensor product. | Source Title: | Journal of Mathematical Physics | URI: | https://scholarbank.nus.edu.sg/handle/10635/154073 | ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.5050052 |
Appears in Collections: | Staff Publications Elements |
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