Bases for some reciprocity algebras I Academic Article uri icon

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 GL n (ℂ) × GL m1 (ℂ) × GL m2 (ℂ) × × GL mr (ℂ) highest weight vectors in P (ℂ n ⊗ ℂ m ), where m = m 1 + ⋯ + m r and m j ≤ n for all 1 ≤ j ≤ r, and the algebra of GL n (ℂ) × GL k (ℂ) × GL 1 (ℂ) highest weight vectors in P [ℂ n ⊗ ℂ k ) ℂ n* ⊗ ℂl)]. © 2007 American Mathematical Society.

author list (cited authors)

  • Howe, R., & Lee, S. T.

citation count

  • 10

publication date

  • March 2007