2000 character limit reached
Contravariant form for reduction algebras and Pieri rule (1707.07136v1)
Published 22 Jul 2017 in math.RT, math-ph, math.MP, and math.RA
Abstract: We study properties and constructions of contravariant forms on reduction algebras. As an application we compute norms of highest weight vectors in the tensor product of an irreducible finite dimensional representation of the Lie algebra gl(n) with a symmetric or wedge tensor power of its fundamental representation. Their zeroes describe Pieri rules.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.