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|Title:||Bases for some reciprocity algebras i|
|Source:||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|
|Appears in Collections:||Staff Publications|
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