Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0002-9947-07-04142-6
Title: Bases for some reciprocity algebras i
Authors: Howe, R.
Lee, S.T. 
Issue Date: 2007
Citation: Howe, R., Lee, S.T. (2007). Bases for some reciprocity algebras i. Transactions of the American Mathematical Society 359 (9) : 4359-4387. ScholarBank@NUS Repository. https://doi.org/10.1090/S0002-9947-07-04142-6
Abstract: For a complex vector space V, let P(V ) be the algebra of polynomial functions on V . In this paper, we construct bases for the algebra of all GLn(ℂ) × GLm1 (ℂ) × GLm2 (ℂ) × × GLmr (ℂ) highest weight vectors in P (ℂn ⊗ ℂm), where m = m1 + ⋯ + mr and mj ≤ n for all 1 ≤ j ≤ r, and the algebra of GLn(ℂ) × GLk(ℂ) × GL1(ℂ) highest weight vectors in P [ℂn ⊗ ℂk) ℂn* ⊗ ℂl)]. © 2007 American Mathematical Society.
Source Title: Transactions of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/102921
ISSN: 00029947
DOI: 10.1090/S0002-9947-07-04142-6
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